tag:blogger.com,1999:blog-61860583577909189022024-02-08T07:46:14.598-08:00makalahary_daman blogzzhttp://www.blogger.com/profile/15410419259767119470noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-6186058357790918902.post-83947701126008243652012-01-22T16:48:00.000-08:002012-01-22T16:48:06.036-08:00<!--[if !mso]>
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<b style="mso-bidi-font-weight: normal;"><span lang="SV" style="font-family: Algerian; font-size: 14.0pt; line-height: 150%; mso-ansi-language: SV;">makalah</span></b></div>
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Pertidaksamaan Irrasional serta</span></b></div>
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<b style="mso-bidi-font-weight: normal;"><span lang="SV" style="mso-ansi-language: SV; mso-bidi-font-style: italic;">Nama <span style="mso-tab-count: 2;"> </span>:
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<div class="MsoNormal" style="line-height: 150%; margin-left: 99.0pt; tab-stops: .5in 1.0in 1.5in 2.0in 2.5in 230.25pt;">
<b style="mso-bidi-font-weight: normal;"><span lang="SV" style="mso-ansi-language: SV; mso-bidi-font-style: italic;">Smester/Kelas <span style="mso-tab-count: 1;"> </span>:<span style="mso-spacerun: yes;"> </span>I/C<span style="mso-tab-count: 1;"> </span></span></b></div>
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<b style="mso-bidi-font-weight: normal;"><span lang="SV" style="font-size: 11.0pt; line-height: 150%; mso-ansi-language: SV;">PROGRAM STUDI PENDIDIKAN MATEMATIKA</span></b></div>
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<b style="mso-bidi-font-weight: normal;"><span lang="SV" style="font-size: 11.0pt; line-height: 150%; mso-ansi-language: SV;"><span style="mso-spacerun: yes;"> </span>JURUSAN MIPA </span></b></div>
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<b style="mso-bidi-font-weight: normal;"><span lang="SV" style="font-size: 11.0pt; line-height: 150%; mso-ansi-language: SV;">SEKOLAH TINGGI KEGURUAN DAN ILMU
PENDIDIKAN (STKIP) HAMZANWADI SELONG</span></b></div>
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<b style="mso-bidi-font-weight: normal;"><span lang="SV" style="font-size: 11.0pt; line-height: 150%; mso-ansi-language: SV;">TAHUN AKADEMIK 2011/2012</span></b></div>
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<b style="mso-bidi-font-weight: normal;"><span lang="SV" style="mso-ansi-language: SV; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">KATA PENGANTAR</span></b></div>
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<span lang="SV" style="mso-ansi-language: SV; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Puji syukur kehadirat Allah SWT, Tuhan Yang Maha Esa,
maha pengasih, maha penyayang, maha segala-galanya yang dengan segala rahmat,
taufik dan hidayah-Nya sehingga makalah ini dapat terselesaikan. </span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Shalawat
serta salam selalu tercurahkan kepada junjungan alam Nabi Besar Muhammad SAW.
Beserta keluarga dan sahabat-sahabat beliau yang telah membimbing ummat manusia
dari alam gelap gulita menuju alam yang terang benderang.</span></div>
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<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Persamaan
dan pertidaksamaan irrasional merupakan salah satu bagian yang tidak dapat
dipisahkan dalam matematika. Karena sangat berhubungan dengan bilangan
irrasional. Dengan adanya makalah ini semoga bermanfaat bagi penulis, dan
pembaca pada umumnya.</span></div>
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<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Penulis
menyadari sepenuhnya bahwa penulisan makalah ini masih jauh dari kesempurnaan,
untuk itu penulis mengharapkan kritik dan saran yang sifatnya membangun guna
perbaikan di masa yang akan datang. </span></div>
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<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 1;"> </span><b style="mso-bidi-font-weight: normal;">Penulis,</b></span></div>
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<b style="mso-bidi-font-weight: normal;"><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">DAFTAR ISI</span></b></div>
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<span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">KATA PENGANTAR<span style="mso-tab-count: 1 dotted;">.................................................................................. </span>
<span style="mso-tab-count: 1;"> </span></span></div>
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<span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">DAFTAR ISI<span style="mso-tab-count: 1 dotted;">................................................................................................. </span>
<span style="mso-tab-count: 1;"> </span></span></div>
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<span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">BAB I PENDAHULUAN<span style="mso-tab-count: 1 dotted;">............................................................................ </span>
<span style="mso-tab-count: 1;"> </span></span></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 200%; mso-list: l4 level1 lfo2; tab-stops: dotted 5.0in blank 5.25in; text-indent: -.25in;">
<span lang="NO-BOK" style="mso-ansi-language: NO-BOK; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Latar
Belakang<span style="mso-tab-count: 1 dotted;">................................................................................... </span><span style="mso-tab-count: 1;"> </span></span><span lang="NO-BOK" style="mso-ansi-language: NO-BOK; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
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<span lang="NO-BOK" style="mso-ansi-language: NO-BOK; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Rumusan
Masalah<span style="mso-tab-count: 1 dotted;">.............................................................................. </span><span style="mso-tab-count: 1;"> </span></span><span lang="NO-BOK" style="mso-ansi-language: NO-BOK; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
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<span lang="NO-BOK" style="mso-ansi-language: NO-BOK; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">c.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Tujuan<span style="mso-tab-count: 1 dotted;">................................................................................................ </span><span style="mso-tab-count: 1;"> </span></span><span lang="NO-BOK" style="mso-ansi-language: NO-BOK; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
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<b style="mso-bidi-font-weight: normal;"><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">BAB<span style="mso-spacerun: yes;">
</span>II<span style="mso-spacerun: yes;"> </span>PEMBAHASAN<span style="mso-tab-count: 1 dotted;">........................................................................... </span>
<span style="mso-tab-count: 1;"> </span></span></b></div>
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<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Persamaan irrasional<span style="mso-tab-count: 1 dotted;">........................................................................... </span><span style="mso-tab-count: 1;"> </span></span></div>
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<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Pertisaksamaan irrasional<span style="mso-tab-count: 1 dotted;">................................................................... </span><span style="mso-tab-count: 1;"> </span></span></div>
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<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">c.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Fungsi irrasional<span style="mso-tab-count: 1 dotted;">................................................................................. </span><span style="mso-tab-count: 1;"> </span></span></div>
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<b style="mso-bidi-font-weight: normal;"><span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">BAB III PENUTUP<span style="mso-tab-count: 1 dotted;">..................................................................................... </span>
<span style="mso-tab-count: 1;"> </span></span></b></div>
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<span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Kesimpulan<span style="mso-tab-count: 1 dotted;">........................................................................................ </span><span style="mso-tab-count: 1;"> </span></span></div>
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<span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Saran <span style="mso-tab-count: 1 dotted;">................................................................................................. </span><span style="mso-tab-count: 1;"> </span></span></div>
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<span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-tab-count: 1;"> </span></span><b style="mso-bidi-font-weight: normal;"><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></b></div>
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<b style="mso-bidi-font-weight: normal;"><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">BAB I</span></b></div>
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<b style="mso-bidi-font-weight: normal;"><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">PENDAHULUAN</span></b></div>
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<b style="mso-bidi-font-weight: normal;"><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";">
</span></span></span></b><b style="mso-bidi-font-weight: normal;"><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Latar Belakang</span></b></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin-left: 0in; mso-add-space: auto; text-indent: 21.3pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Matematika merupakan salah satu cabang ilmu
pengetahuan yang sangat penting dalam kehidupan sehari – hari. Manusia dalam
melakukan kegiatan sehari – hari tentunya tidak lepas dari apa yang ada dalam
matematika. Akan tetapi kebanyakan orang tidak menyadari bahwa apa yang
dilakukannya tersebut merupakan bagian dari matematika. Kegiatan – kegiatan
seperti menghitung bilangan, menjumlahkan dan lain sebagainya merupaka bagian
dari cabang ilmu matematika yang paling dasar.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin-left: 21.3pt; mso-add-space: auto; mso-list: l10 level1 lfo1; text-indent: -21.3pt;">
<b style="mso-bidi-font-weight: normal;"><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";">
</span></span></span></b><b style="mso-bidi-font-weight: normal;"><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Rumusan Masalah</span></b></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin-left: 21.3pt; mso-add-space: auto;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Dalam makalah ini terdapat beberapa rumusan
masalah yaitu:</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin-left: 39.3pt; mso-add-space: auto; mso-list: l8 level1 lfo9; text-indent: -.25in;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Apa itu persamaan dan pertidaksamaan<span style="mso-spacerun: yes;"> </span>irrasional?</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin-left: 39.3pt; mso-add-space: auto; mso-list: l8 level1 lfo9; text-indent: -.25in;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Bagaimana menyelesaikan persamaan dan
pertidaksamaan irrasional?</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin-left: 39.3pt; mso-add-space: auto; mso-list: l8 level1 lfo9; text-indent: -.25in;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">c.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Bagaimana membuat grafik fungsi irrasional?</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin-left: 21.3pt; mso-add-space: auto; mso-list: l10 level1 lfo1; text-indent: -21.3pt;">
<b style="mso-bidi-font-weight: normal;"><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">c.<span style="font: 7.0pt "Times New Roman";">
</span></span></span></b><b style="mso-bidi-font-weight: normal;"><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Tujuan</span></b></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin-left: 39.3pt; mso-add-space: auto; mso-list: l14 level1 lfo10; text-indent: -.25in;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Untuk mengetahui apa yang dimaksud dengan
persamaan dan pertidaksamaan irrasional.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin-left: 39.3pt; mso-add-space: auto; mso-list: l14 level1 lfo10; text-indent: -.25in;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Untuk mengetahui bagaimana cara menyelesaikan
persamaan dan pertidaksamaan irrasional.</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 200%; margin-left: 39.3pt; mso-add-space: auto; mso-list: l14 level1 lfo10; text-indent: -.25in;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">c.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Untuk mengetahui cara membuat grafik fungsi
irrasional.</span></div>
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-font-weight: normal; mso-bidi-language: AR-SA; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-font-kerning: 0pt; mso-hansi-theme-font: major-bidi;"><br clear="all" style="mso-special-character: line-break; page-break-before: always;" />
</span>
<div class="MsoNormal" style="line-height: 115%; margin-bottom: 10.0pt;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: 115%; margin-bottom: 10.0pt; text-align: center;">
<b style="mso-bidi-font-weight: normal;"><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">BAB II</span></b></div>
<div align="center" class="MsoNormal" style="line-height: 115%; margin-bottom: 10.0pt; text-align: center;">
<b style="mso-bidi-font-weight: normal;"><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">PEMBAHASAN</span></b></div>
<div class="MsoListParagraph" style="line-height: 115%; margin-bottom: 10.0pt; mso-add-space: auto; mso-list: l2 level1 lfo16; text-indent: -.25in;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">A.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Persamaan irrasional</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify; text-indent: 35.45pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Persamaan
irrasional ialah persamaan yang mengandung arti di dalam tanda akar, umpama: </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image007.gif" width="47" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>= x – 5.
Sebelum mempelajari persamaan ini, lebih lanjut diperingatkan dahulu bahwa:</span></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-bottom: 10.0pt; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l9 level1 lfo12; text-align: justify; text-indent: -21.3pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Akar dari suatu bilangan positif adalah
positif, umpama </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image009.gif" width="28" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>= 4, </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image011.gif" width="28" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>= 5 dan
sebagainya.</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-bottom: 10.0pt; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l9 level1 lfo12; text-align: justify; text-indent: -21.3pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">2.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Oleh karena semestanya adalah bilangan –
bilangan nyata, maka bilangan di dalam akar (akar) harus positif atau nol.
Umpama: </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image013.gif" width="46" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>selalu
terikat oleh syarat 3 – x ≥ 0 atau x ≤ 3.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify; text-indent: 35.45pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Persamaan
irrasional diselesaikan dengan mengkuadratkan kedua ruasnya. Tetapi<span style="mso-spacerun: yes;"> </span>Di dalam mengkuadratkan ruas – ruas suatu
persamaan perlu diingat dalil – dalil berikut:</span></div>
<div class="MsoNormal" style="line-height: 150%; tab-stops: 173.1pt; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Dalil I.<span style="mso-tab-count: 1;"> </span></span></u></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-tab-count: 1;"> </span>Apabila A dan B kedua – duanya sama
– sama positif atau nol atau sama – sama negative atau nol, maka persamaan A =
B ekuivalen dengan A<sup>2</sup> = B<sup>2</sup>.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Bukti:</span></u></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Apabila
A = B maka A<sup>2</sup> = B<sup>2</sup>.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Sebaliknya
jika A<sup>2</sup> = B<sup>2 </sup>maka 1). A = B, 2) A = -B. untuk no 1 sudah
jelas, sedang untuk no 2 jika ruas kiri positif atau nol, maka ruas kiri
negative atau nol, dan sebaliknya, yang berarti kedua ruas itu harus nol, jadi
A = B lagi.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Akibat:</span></u></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Persamaan
c = </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image015.gif" width="21" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>↔ c<sup>2</sup>
= D, c ≥ 0.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Contoh:</span></u></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Hitunglah
x, </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image017.gif" width="46" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>+ x =
15.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Penyelesaian:</span></u></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Bentuk
persamaan diubah </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image019.gif" width="46" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>= 15 – x
………..(1)</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image019.gif" width="46" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>nyata
jika x≥ 3. Sesudah demikian ruas kanan harus positif, jadi x≤15.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Maka
kedua ruas dalam persamaan (1) boleh dikuadratkan</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">x
– 3 = 225 – 30x + x<sup>2</sup>.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">x<sup>2</sup>
31x + 228 = 0</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">(x
- 12)(x - 19) = 0</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">x<sub>1
</sub>= 12, x<sub>2</sub> = 19</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">mengingat
syarat x ≥ 3 dan x ≤ 15, maka yang merupakan <span style="mso-spacerun: yes;"> </span>penyelesaiannya adalah x = 12.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Contoh
2:</span></u></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Selesaikan
: </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image021.gif" width="55" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>+ </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image023.gif" width="55" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>= </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image025.gif" width="64" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Penyelesaiannya:</span></u></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Syarat
– syarat supaya akar – akar itu nyata adalah:</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="height: 79px; left: 0px; margin-left: 123px; margin-top: 9px; mso-ignore: vglayout; position: absolute; width: 31px; z-index: 3;"><img height="79" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image026.gif" width="31" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">2x – 3 ≥ 0</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: 127.15pt 164.55pt; text-align: justify;">
<span style="height: 12px; left: 0px; margin-left: 168px; margin-top: 8px; mso-ignore: vglayout; position: absolute; width: 46px; z-index: 4;"><img height="12" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image027.gif" width="46" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">4x + 1 ≥ 0<span style="mso-tab-count: 2;"> </span>x
≥ 1</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -7.0pt; position: relative; top: 7.0pt;"><img height="27" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image029.gif" width="7" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">6x
+ 28 ≥ 0</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Maka
bentuk di atas sekarang boleh dikuadratkan:</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">2x
– 3 + 4x + 1 + 2</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -4.0pt; position: relative; top: 4.0pt;"><img height="23" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image031.gif" width="127" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>= 6x +
28</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image033.gif" width="100" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>= 15</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Di
bawah syarat x ≥ 1</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -7.0pt; position: relative; top: 7.0pt;"><img height="27" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image029.gif" width="7" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>ruas
kiri masih positif, jadi boleh dikuadratkan lagi</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">8x<sup>2</sup>
– 10x – 3 = 225</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">8x<sup>2</sup>
– 10x – 228 = 0 ↔ 4x<sup>2</sup> – 5x – 114 = 0</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">(4x
+ 9)(x - 6) = 0↔ x<sub>1</sub> = </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -7.0pt; position: relative; top: 7.0pt;"><img height="27" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image035.gif" width="21" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">, x<sub>2</sub> = 6.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Karena
syarat x ≥ 1</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -7.0pt; position: relative; top: 7.0pt;"><img height="27" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image029.gif" width="7" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>maka
yang merupakan penyelesaiannya adalah x = 6.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Contoh
3:</span></u></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Selesaikan
</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image037.gif" width="55" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>+ </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image039.gif" width="64" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>= </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image041.gif" width="55" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Penyelesaian:</span></u></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Agar
bentuk – bentuk akar itu nyata, maka syaratnya 2x – 9 ≥ 0, 3x – 15 ≥ 0 dan 7x –
8 ≥ 0, yaitu x<span style="mso-spacerun: yes;"> </span>≥ 5, bentuk persamaan
diubah, supaya ruas itu positif:</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image037.gif" width="55" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>+ </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image039.gif" width="64" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>= </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image041.gif" width="55" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">, kemudian dikuadratkan.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA;"><img height="24" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image043.gif" width="352" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA;"><img height="23" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image045.gif" width="229" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Mengingat
syarat </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image047.gif" width="39" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">,maka ruas kiri negative, sedang ruas kanan </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image049.gif" width="25" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">, jadi tak mungkin sama, sehingga persamaan di
atas adalah palsu. </span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Contoh 4</span></u></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-tab-count: 1;"> </span>Selesaikan : </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image051.gif" width="56" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>+<span style="mso-spacerun: yes;"> </span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image053.gif" width="77" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Penyelesaian
:</span></u></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-tab-count: 1;"> </span>Supaya bentuk-bentuk akar itu nyata,
maka syaratnya </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image055.gif" width="39" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">. Setelah itu kedua ruas boleh dikuadratkan. </span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA;"><img height="24" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image057.gif" width="288" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA;"><img height="23" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image059.gif" width="226" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-tab-count: 1;"> </span>Mengingat syarat </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image055.gif" width="39" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">, maka ruas kanan itu negative, jadi persamaan
itu palsu.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Ada
kemungkinan sebelum mengerjakan lebih lanjut, bentuk akar mempunyai factor
persekutuan.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Contoh 5
:</span></u></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-tab-count: 1;"> </span>Selesaikanlah </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="22" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image061.gif" width="288" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Penyelesaian
:</span></u></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Ternyata
bentuk-bentuk di atas mempunyai factor persekutuan yaitu </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image063.gif" width="47" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">, karena masing-masing akar dapat diuraikan
sebagai berikut: </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -4.0pt; position: relative; top: 4.0pt;"><img height="23" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image065.gif" width="344" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Maka
</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image067.gif" width="138" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>adalah
akar</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Tinggallah
: </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image069.gif" width="163" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Syarat
supaya bentuk-bentuk akar itu nyata </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image071.gif" width="46" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">terus dikuadratkan: </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="22" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image073.gif" width="224" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="22" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image075.gif" width="131" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Di
bawah syarat </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image077.gif" width="42" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>ruas
kanan masih positif, maka terus boleh dikuadratkan lagi:</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image079.gif" width="165" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image081.gif" width="129" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA;"><img height="25" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image083.gif" width="302" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Oleh
karena x harus </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image085.gif" width="25" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">, maka x<sub>12 </sub>tidak memenuhi (bukan
akar). Pemfaktoran persamaan yang diketahui dapat pula dilakukan sebagai
berikut:</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -4.5pt; position: relative; top: 4.5pt;"><img height="24" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image087.gif" width="374" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">I</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Sehingga
kalau factor </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image089.gif" width="80" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>yaitu x
= 1 tentu memenuhi I, selanjutnya persamaan yang tinggal adalah</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image091.gif" width="175" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>………… II</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Supaya
nyata syaratnya </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image093.gif" width="39" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">, kemudian II boleh dikuadratkan</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA;"><img height="24" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image095.gif" width="206" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA;"><img height="24" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image097.gif" width="144" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Untuk
</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image099.gif" width="42" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>ruas
kanan bisa positif, negative atau nol. Supaya ruas kanan positif, maka</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image101.gif" width="54" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">. Maka lalu boleh dikuadratkan:</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image103.gif" width="174" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA;"><img height="25" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image105.gif" width="289" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Mengingat
syaratnya </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image107.gif" width="51" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>maka x<sub>2</sub>
= -4 adalah akar.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Jadi
persamaan yang diketahui mempunyai dua buah akar <span style="mso-spacerun: yes;"> </span>ialah</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">x
= 1 dan x = -4</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">contoh
6:</span></u></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">apakah
pengaruh c pada </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image109.gif" width="56" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>= x – 3.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">penyelesaian:</span></u></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">ruas
kanan <span style="mso-spacerun: yes;"> </span>positif atau nol apabila x – 3 ≥ 0
yaitu bila x ≥ 3. Seterusnya dikuadratkan:</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: center 216.15pt left 303.9pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-tab-count: 1;"> </span></span><span style="height: 12px; left: 0px; margin-left: 355px; margin-top: 4px; mso-ignore: vglayout; position: absolute; width: 39px; z-index: 5;"><img height="12" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image110.gif" width="39" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">x<sup>2</sup> + c = x<sup>2</sup> – 6x + 9 <span style="mso-tab-count: 1;"> </span>x = </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -7.0pt; position: relative; top: 7.0pt;"><img height="27" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image112.gif" width="21" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: center 216.15pt left 303.9pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Harga ini memenuhi syarat bila x = </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -7.0pt; position: relative; top: 7.0pt;"><img height="27" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image112.gif" width="21" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>≥ 3,
yaitu bila c ≤ -9.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: center 216.15pt left 303.9pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Kesimpulannya ialah persamaan diatas palsu jika
c > 9 dan memberi hasil jika c ≤ -9 dan hasil itu<span style="mso-spacerun: yes;"> </span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -7.0pt; position: relative; top: 7.0pt;"><img height="27" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image112.gif" width="21" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Contoh
7:</span></u></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: center 216.15pt left 303.9pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Apakah pengaruh m pada persamaan </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image114.gif" width="107" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>= x – 3.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Penyelesaian:</span></u></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: center 216.15pt left 303.9pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Ruas kanan harus x – 3 ≥ 0, yaitu jika x ≥ 3.
Seterusnya dikuadratkan:</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: center 216.15pt left 303.9pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>2x<sup>2</sup>
+ mx + 6 = x<sup>2</sup> – 6x + 9</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: center 216.15pt left 303.9pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">x<sup>2</sup> + (m + 6)x – 3 = 0</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: center 216.15pt left 303.9pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">suatu akar persamaa ini yang memenuhi persamaan
yang diketahui, apabila m</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -4.5pt; position: relative; top: 4.5pt;"><img height="23" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image116.gif" width="41" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>a<sup>m</sup>
< 0 dimana </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image118.gif" width="18" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>= x<sup>2</sup>
+ (m + 6)x – 3</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: 208.5pt center 216.15pt; text-align: justify;">
<span style="height: 12px; left: 0px; margin-left: 234px; margin-top: 5px; mso-ignore: vglayout; position: absolute; width: 32px; z-index: 6;"><img height="12" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image119.gif" width="32" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">jadi: 1. (9 + 3m + 18<span style="mso-spacerun: yes;"> </span>-3) ≤ 0 <span style="mso-tab-count: 1;"> </span>m
≤ 8</span></div>
<div class="MsoNormal" style="line-height: 150%; tab-stops: 208.5pt center 216.15pt; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">kesimpulan:</span></u></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: center 216.15pt left 303.9pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">jika m ≤ 8 persamaan yang diketahui mempunyai
sebuah akar ≥ 3 dan jika m > -8 persamaan yang diketahui palsu.</span></div>
<div class="MsoNormal" style="line-height: 150%; tab-stops: center 216.15pt left 303.9pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; tab-stops: center 216.15pt left 303.9pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; tab-stops: center 216.15pt left 303.9pt; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Cara
kedua:</span></u></div>
<div class="MsoNormal" style="line-height: 150%; tab-stops: center 216.15pt left 303.9pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: center 216.15pt left 268.35pt; text-align: justify;">
<span style="height: 12px; left: 0px; margin-left: 318px; margin-top: 5px; mso-ignore: vglayout; position: absolute; width: 30px; z-index: 7;"><img height="12" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image120.gif" width="30" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image114.gif" width="107" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>= x – 3.
Syarat x – 3 ≥ 0 <span style="mso-tab-count: 1;"> </span>x ≥ 3.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: center 216.15pt left 268.35pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Dikuadratkan 2x<sup>2</sup> + mx + 6 = x<sup>2</sup>
– 6x + 9</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: center 216.15pt left 268.35pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">x<sup>2 </sup>+ (m + 6)x -3 = 0</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: center 216.15pt left 268.35pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">x<sub>1</sub> + x<sub>2</sub> = -m – 6………..(1)</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: center 216.15pt left 268.35pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">x<sub>1</sub>x<sub>2 </sub>= -3……………….(2)</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: center 216.15pt left 268.35pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">x<sub>1</sub> ≥ 3…………………..(3) (yaitu syarat
tadi pada ruas kanan)</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: 104.75pt; text-align: justify;">
<span style="height: 12px; left: 0px; margin-left: 101px; margin-top: 3px; mso-ignore: vglayout; position: absolute; width: 30px; z-index: 8;"><img height="12" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image121.gif" width="30" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">dari (2) <span style="mso-tab-count: 1;"> </span>x<sub>1</sub>
= </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -8.5pt; position: relative; top: 8.5pt;"><img height="29" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image123.gif" width="15" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>masuk
persamaan (3) menjadi:</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: .5in 1.0in; text-align: justify;">
<span style="height: 12px; left: 0px; margin-left: 95px; margin-top: 6px; mso-ignore: vglayout; position: absolute; width: 31px; z-index: 9;"><img height="12" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image124.gif" width="31" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -8.5pt; position: relative; top: 8.5pt;"><img height="29" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image123.gif" width="15" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>≥ 3 <span style="mso-tab-count: 2;"> </span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -8.5pt; position: relative; top: 8.5pt;"><img height="29" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image126.gif" width="34" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>≤ 0</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: .5in 1.0in 159.9pt; text-align: justify;">
<span style="height: 12px; left: 0px; margin-left: 173px; margin-top: 4px; mso-ignore: vglayout; position: absolute; width: 31px; z-index: 10;"><img height="12" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image124.gif" width="31" /></span><span style="height: 2px; left: 0px; margin-left: 48px; margin-top: 16px; mso-ignore: vglayout; position: absolute; width: 108px; z-index: 11;"><img height="2" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image127.gif" width="108" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">+ + +<span style="mso-spacerun: yes;"> </span>-
- -<span style="mso-spacerun: yes;"> </span>+ + + <span style="mso-tab-count: 1;"> </span>-1 < x ≤ 0.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: .5in 1.0in 159.9pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;">
</span>-1<span style="mso-spacerun: yes;"> </span>0</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: .5in 1.0in 159.9pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Karena -1 < x ≤ 0 maka f (-1). F (0) ≤ 0,
yaitu</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: .5in 1.0in 159.9pt; text-align: justify;">
<span style="height: 12px; left: 0px; margin-left: 231px; margin-top: 2px; mso-ignore: vglayout; position: absolute; width: 31px; z-index: 12;"><img height="12" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image128.gif" width="31" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">(1 – m - 6 - 3)(0 + 0 - 3) ≤ 0 <span style="mso-tab-count: 2;"> </span>-m – 8 ≥ 0, m ≤ -8.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; tab-stops: .5in 1.0in 159.9pt; text-align: justify;">
<br /></div>
<div class="MsoListParagraph" style="line-height: 150%; margin-bottom: 10.0pt; mso-add-space: auto; mso-list: l12 level1 lfo15; text-align: justify; text-indent: -.25in;">
<span style="color: black; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; mso-themecolor: text1;"><span style="mso-list: Ignore;">·<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="color: black; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi; mso-themecolor: text1;">Akar Dua
adalah Bilangan Irasional</span></div>
<div style="line-height: 150%; text-align: justify; text-indent: .5in;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Akar dua
yang dilambangkan dengan x2, adalah suatu bilangan, sebut saja x, yang memenuhi
x<sup>2</sup>=2. Bilangan x2 muncul sebagai akibat adanya teorema yang
kebenarannya ditunjukan oleh Phytagoras, seorang filsuf dari Yunani.<br />
Misalkan sebuah segitiga siku-siku dengan panjang masing-masing sisi
siku-sikunya adalah a dan b. Dan panjang sisi miringnya adalah c,maka akan
memenuhi persamaan:</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify; text-indent: .5in;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">c<sup>2 </sup>=
a<sup>2 </sup>+ b<sup>2</sup></span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify; text-indent: .5in;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Apabila
segitiga tersebut merupakan segitiga siku-siku samakaki dengan panjang sisi
siku-sikunya adalah 1, maka panjang sisi miringnya, yang dinamai c, memenuhi
persamaan berikut:</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">cc<sup>2
</sup>= 1<sup>2</sup>+ 1<sup>2</sup></span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">c<sup>2 </sup>=
1 + 1</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">c<sup>2 </sup>=
2</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">c = x2</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify; text-indent: .5in;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Bilangan
irasional adalah bilangan yang bukan bilangan rasional. Sedangkan, yang
dimaksud dengan bilangan rasional adalah bilangan yang dapat dituliskan dalam
bentuk <sup>p</sup><b style="mso-bidi-font-weight: normal;">/</b><sub>q</sub>
dengan p dan q masing-masing bilangan bulat dan q tidak sama dengan 0. Semua
bilangan bulat merupakan bilangan rasional. Misalkan n adalah suatu bilangan
bulat, maka n senantiasa dapat dituliskan sebagai <sup>n</sup><b style="mso-bidi-font-weight: normal;">/</b><sub>1</sub>.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .5in; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Contohnya:</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .5in; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">5=<sup>5</sup><b style="mso-bidi-font-weight: normal;">/</b><sub>1</sub> </span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .5in; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">12=<sup>12</sup><b style="mso-bidi-font-weight: normal;">/</b><sub>1</sub> <br />
Selain bilangan bulat ada bilangan rasional yang dikenal sebagai bilangan
pecahan, salah satu contohnya bilangan yang lambangnya <sup>1</sup><b style="mso-bidi-font-weight: normal;">/</b><sub>2</sub>, dibaca satu per dua atau
dikenal dengan nama setengah. Contoh yang lain adalah <sup>3</sup><b style="mso-bidi-font-weight: normal;">/</b><sub>4</sub> dibaca tiga per empat.
Dan masih tak hingga banyak lagi contoh yang lain.<br />
Dilihat dari penulisannya, sebuah bilangan rasional terdiri atas 2 bagian,
yaitu bagian atas dikatakan sebagai pembilang dan bagian bawah dikatakan
sebagai penyebut dari sebuah bilangan rasional. Apabila pada suatu bilangan
rasional, pembilangnya lebih kecil dari penyebutnya, maka nilai bilangan
rasional itu lebih kecil dari 1. Dan apabila pembilangnya lebih besar dari
penyebutnya, maka nilai bilangan rasional itu lebih besar dari 1. Sedangkan
apabila pembilangnya sama dengan penyebutnya maka nilai bilangan rasional itu
sama dengan 1.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Kalau
dihitung dengan kalkulator x2=1,414213562... </span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Kalau
dilihat pada garis bilangan, x2 terletak diantara bilangan bulat 1 dan 2.</span></div>
<div style="line-height: 150%; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi; mso-no-proof: yes;"><img alt="akardua" height="198" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image129.gif" width="198" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div style="line-height: 150%; text-align: justify; text-indent: 42.55pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Untuk
menunjukkan bahwa x2 bilangan irasional, harus ditunjukkan bahwa x2 bukan
bilangan rasional. Karena x2 jelas bukan bilangan bulat, maka bilangan rasional
yang dimaksudkan dalam tulisan ini adalah bilangan rasional yang berbentuk
pecahan.</span></div>
<div style="line-height: 150%; text-align: justify; text-indent: 42.55pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Cara
yang digunakan adalah dengan pengandaian bahwa x2 merupakan bilangan rasional,
kemudian bila terjadi suatu kontradiksi berarti pengandaiannya salah. Andaikan
x2 adalah bilangan rasional, maka x2 dapat dituliskan dalam bentuk pecahan yang
sederhana. Maksudnya x2 ditulis dalam bentuk <sup>p</sup><b style="mso-bidi-font-weight: normal;">/</b><sub>q</sub> untuk p dan q masing-masing bilangan bulat dan q
tidak sama dengan 0 dan <sup>p</sup><b style="mso-bidi-font-weight: normal;">/</b><sub>q</sub>
yang dimaksud dalam pengandaian merupakan bentuk yang paling sederhana,
sehingga p dan q keduanya tidak dapat dibagi bilangan yang sama.</span></div>
<div style="line-height: 150%; text-align: justify; text-indent: 42.55pt;">
<span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Pernyataan </span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">diatas</span><span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"> dapat dituliskan dalam
bentuk peasamaan sebagai berikut:</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">x2 =<sup>p</sup><b style="mso-bidi-font-weight: normal;">/</b><sub>q</sub></span></div>
<div style="line-height: 150%; text-align: justify; text-indent: 42.55pt;">
<span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Sifat </span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">persamaan</span><span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"> yang sudah dikenal sejak
mulai belajar aljabar adalah suatu persamaan akan tetap ekivalen jika bagian
kiri dan bagian kanannya masing-masing dikalikan dengan bilangan yang sama.</span></div>
<div style="line-height: 150%; text-align: justify; text-indent: 42.55pt;">
<span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Disini persamaan <span style="mso-spacerun: yes;"> </span>bagian kiri dan kanannya dikalikan dengan q,
sehingga diperoleh:</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">qx2 =p.</span></div>
<div style="line-height: 150%; text-align: justify; text-indent: 42.55pt;">
<span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Sifat persamaan lagi, suatu persamaan akan tetap ekivalen
jika bagian kiri dan kanannya masing-masing dikuadratkan sehingga diperoleh:</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">2q<sup>2</sup>=p<sup>2</sup> </span></div>
<div style="line-height: 150%; text-align: justify; text-indent: 42.55pt;">
<span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Dari 2q<sup>2</sup>=p<sup>2</sup>, berarti p<sup>2</sup>
adalah bilangan<span style="mso-spacerun: yes;"> </span>kelipatan 2. </span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Jadi p<sup>2</sup>
genap, maka p adalah<b style="mso-bidi-font-weight: normal;"> </b>bilangan genap.
</span><span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div style="line-height: 150%; text-align: justify; text-indent: 42.55pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Sekarang,
karena p genap, maka p adalah bilangan kelipatan dua, sehingga dapat dituliskan
p = 2k, untuk suatu k bilangan bulat.</span></div>
<div style="line-height: 150%; text-align: justify; text-indent: 42.55pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Kembali
ke persamaan , yaitu 2q<sup>2</sup>=p<sup>2</sup> diperoleh sebuah persamaan:</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">2q<sup>2</sup>=(2k)<sup>2</sup><br />
2q<sup>2</sup>=4k<sup>2</sup> </span></div>
<div style="line-height: 150%; text-align: justify; text-indent: 42.55pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Dengan
menggunakan sebuah sifat persamaan lagi, suatu persamaan akan tetap ekivalen
jika bagian kiri dan bagian kanannya masing-masing dibagi dengan bilangan yang
sama. </span></div>
<div style="line-height: 150%; text-align: justify; text-indent: 42.55pt;">
<span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Persamaan<span style="mso-spacerun: yes;"> </span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">bagian</span><span lang="FI" style="mso-ansi-language: FI; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"> kiri dan kanannya dibagi dengan 2 , maka diperoleh
persamaan:</span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">q<sup>2</sup>=2k<sup>2</sup></span></div>
<div style="line-height: 150%; text-align: justify; text-indent: 42.55pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">yang
berarti juga q<sup>2</sup> adalah bilangan genap. Karena q<sup>2</sup> genap,
maka<b style="mso-bidi-font-weight: normal;"> </b>q adalah bilangan genap.</span></div>
<div style="line-height: 150%; text-align: justify; text-indent: 42.55pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Karena p
dan q keduanya bilangan genap, maka p dan q masing-masing dapat dibagi oleh
dua. Hal ini tidak sesuai dengan pengandaian x2 =<sup>p</sup><b style="mso-bidi-font-weight: normal;">/</b><sub>q</sub> yang menyatakan p dan q
tidak dapat dibagi oleh bilangan yang sama.</span></div>
<div style="line-height: 150%; text-align: justify; text-indent: 42.55pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Terlihat
adanya kontradiksi, yang menunjukkan pengandaian salah. Maka tidak benar x2
dapat dituliskan sebagai <sup>p</sup><b style="mso-bidi-font-weight: normal;">/</b><sub>q</sub>
dengan p dan q bilangan bulat dengan q tidak sama dengen 0 dan <sup>p</sup><b style="mso-bidi-font-weight: normal;">/</b><sub>q</sub> merupakan bentuk paling
sederhana. Berarti x2 bukan bilangan rasional. Jadi ... x2 adalah bilangan
irasional.</span></div>
<div style="line-height: 150%; text-align: justify; text-indent: 42.55pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Contoh
bilangan irasional yang lain adalah x3 yang merupakan diagonal dari sebuah
kubus yang panjang ruruknya 1. Bilangan irasional yang lain lagi adalah </span>,
e dan lain-lain </div>
<div style="line-height: 150%; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Ditulis oleh :Rini DS Tarmidi, ibu rumah tangga</span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-tab-count: 1;"> </span></span></div>
<div class="MsoListParagraph" style="line-height: 115%; margin-bottom: 10.0pt; mso-add-space: auto; mso-list: l2 level1 lfo16; text-indent: -.25in;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">B.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Pertidaksamaan irrasional</span></div>
<div class="MsoNormal" style="line-height: 150%; text-indent: .5in;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Adalah
pertidaksamaan yang variabelnya ada di dalam<span style="mso-spacerun: yes;">
</span>tanda akar.<br />
Penyelesaian:<br />
• Susunlah dahulu bila kedua ruas seimbang.<br />
(Bila ada dua tanda akar letakkan satu di ruas kiri, satu di ruas kanan; bila
ada tiga tanda akar letakkan satu di ruas kiri, dua di ruas kanan atau
sebaliknya).<br />
• Kuadratkan kedua ruasnya.<br />
(tanda tidak berubah karena yang dikuadratkan adalah bilangan positif).<br />
• Selesaikan pertidaksamaannya ................. (1)<br />
0)...(2)</span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;"> </span></span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">³</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">syarat:
bilangan di bawah tanda akar harus non negatif (<br />
(pembicaraan adalah mengenai bilangan riil)<br />
• Jawabannya adalah yang memenuhi syarat (1) dan (2) di atas.<br />
Contoh:<br />
(x-2)</span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ö</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">1.<span style="mso-spacerun: yes;"> </span>< 2<br />
<span style="mso-spacerun: yes;"> </span>kuadratkan</span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">®</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><br />
x - 2 < 4<br />
x < 6<br />
<span style="mso-spacerun: yes;"> </span>syarat :</span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">®</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><br />
<span style="mso-spacerun: yes;"> </span>0</span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">³</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"> x - 2<span style="mso-spacerun: yes;"> </span><br />
<span style="mso-spacerun: yes;"> </span>2</span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">³</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"> x <br />
<br />
<span style="mso-spacerun: yes;"> </span>x</span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">£</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"> 2<span style="mso-spacerun: yes;"> </span><
6 (2x + 1)</span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ö</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">(-x + 3)
- </span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ö</span></span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;"> </span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">2. >
0<br />
seimbangkan<br />
(-x+3)</span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ö</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"> >
(2x+1)</span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ö</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><br />
<span style="mso-spacerun: yes;"> </span>kuadratkan</span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">®</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><br />
-x + 3 > 2x + 1<br />
3x < 2<br />
x < 2/3<br style="mso-special-character: line-break;" />
<br style="mso-special-character: line-break;" />
</span></div>
<div class="MsoNormal" style="line-height: 150%; text-indent: .5in;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><br />
<span style="mso-spacerun: yes;"> </span>syarat :</span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">®</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><br />
<span style="mso-spacerun: yes;"> </span>3</span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">£</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"> x </span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">®</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"> 0 </span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">³</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">-x + 3 <br />
dan<br />
<span style="mso-spacerun: yes;"> </span>-1/2</span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">³</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"> x </span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">®</span></span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;"> </span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>0</span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">³</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">2x + 1 <br />
<br />
<span style="mso-spacerun: yes;"> </span>x</span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">£</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">-1/2<span style="mso-spacerun: yes;">
</span>< 2/3</span></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-left: .25in; mso-add-space: auto;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><br />
ax² + bx + c ><span style="mso-spacerun: yes;"> </span>0.</span><span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">¹</span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">0 dengan
a, b, c konstanta; a <br />
Penyelesaian: <br />
• Jadikan ruas kanan = 0<br />
• Jadikan koefisien x² positif (untuk memudahkan pemfaktoran)<br />
• Uraikan ruas kiri atas faktor-faktor linier.<br />
• Tetapkan nilai-nilai nolnya<br />
• Tetapkan tanda-tanda pada garis bilangan<br />
• Jawaban didapatkan dari hal-hal yang ditanyakan dan terlukiskan pada garis
bilangan<br />
(bila ditanyakan > 0, maka yang dimaksud adalah daerah +,<br />
bila ditanyakan < 0, maka yang dimaksud adalah daerah -).<br />
contoh:<br />
x² + x - 2 > 0<br />
(x + 2) (x - 1) > 0<br />
<br />
x < -2 atau x > 1<br style="mso-special-character: line-break;" />
<br style="mso-special-character: line-break;" />
</span><u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></u></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: 10.0pt; mso-add-space: auto; mso-list: l12 level1 lfo15; text-align: justify; text-indent: -.25in;">
<span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;">·<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Fungsi irrasional</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Sebelum
mempelajari fungsi irrasional dengan grafiknya, terlebih dahulu kita pelajari
pertidaksamaan linear dengan dua anu.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Contoh :</span></u></div>
<div class="MsoListParagraph" style="line-height: 150%; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Carilah
harga-harga y dimana y > 2x – 3 </span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Penyelesaian
:</span></u></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Mula-mula
kita lukis grafik y = 2x – 3 , yaitu berupa garis lurus. Garis ini memotong
sumbu x dan y pada (</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -7.0pt; position: relative; top: 7.0pt;"><img height="27" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image131.gif" width="36" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">) dan (0, -3).</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-left: 177.2pt; mso-add-space: auto; text-align: justify;">
<span style="height: 306px; left: 0px; margin-left: 2px; margin-top: 1px; mso-ignore: vglayout; position: absolute; width: 230px; z-index: 15;"><img height="306" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image132.gif" width="230" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">setiap
titik P pada garis ini, koordinatnya memenuhi persamaan y = 2x – 3. Umpama P
(3,3). Tetapi titik-titik di luar garis tersebut, tidak memenuhi persamaan<span style="mso-spacerun: yes;"> </span>y = 2x – 3. Jadi umpama untuk titik titik Q
dan R, y ≠ 2x – 3. Untuk titik R (2,2) maka y < 2x – 3, sdang untuk titik
titik Q: y > 2x – 3. Maka y > 2x – 3 akan dipenuhi oleh semua ordinat
dari titik – titik yang terletak di atas garis y = 2x – 3 sedang y < 2x – 3
dipenuhi oleh ordinat titik – titik di bawah garis y = 2x – 3.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-left: 0in; mso-add-space: auto; text-align: justify;">
<u><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Daerah positif dan negative.</span></u></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 0in; mso-add-space: auto; text-align: justify; text-indent: .5in;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Gambarlah garis 2x + 3y – 6= 0. Dan tentukanlah
daerah negative dan positifnya.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 191.4pt; mso-add-space: auto; text-align: justify;">
<span style="height: 179px; left: 0px; margin-left: 2px; margin-top: 20px; mso-ignore: vglayout; position: absolute; width: 243px; z-index: 14;"><img height="179" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image133.gif" width="243" /></span><span style="height: 179px; left: 0px; margin-left: 2px; margin-top: 20px; mso-ignore: vglayout; position: absolute; width: 243px; z-index: 13;"><img height="179" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image134.gif" width="243" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">g aris memotong
sumbu x dan y pada titik (3,0) dan (0,2). Jika titik O (0,0) diisika pada 2x –
3y – 6 didapat 0 – 0 – 6 = -6 (negatif).</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 191.4pt; mso-add-space: auto; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Setiap titik pada garis tersebut koordinatnya
memenuhi persamaan (bernilai nol).</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-left: 191.4pt; mso-add-space: auto; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Jadi daerah yang sepihak dengan titik 0 terhadap
garis 2x – 3y – 6 = 0adalag daerah negative. Sedangkan daerah yang tidak
sepihak dengan 0 terhadap garis </span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-bottom: 10.0pt; margin-left: 14.2pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l2 level1 lfo16; text-align: justify; text-indent: -14.2pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">C.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">GRAFIK
FUNGSI IRRASIONAL</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Contoh 1.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Lukislah grafik fungsi y = \</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image136.gif" width="50" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>…………… I</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Penyelesaian:</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Dalam hal hal ini tentulah x – 1 ≥ 0; x<span style="mso-spacerun: yes;"> </span>≥ 1 dan dengan demikian maka juga y ≥ 0. Jadi
semua ordinat dari grafik tersebut berada pada atau diatas sumbu x. kalau I
dikuadratkan didapat<span style="mso-spacerun: yes;"> </span>y<sup>2 </sup>= x –
1 ↔ x<span style="mso-spacerun: yes;"> </span>=<span style="mso-spacerun: yes;">
</span>y<sup>2 </sup>+ 1 …………… II</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Grafik fungsi II<span style="mso-spacerun: yes;"> </span>adalah<span style="mso-spacerun: yes;">
</span>parabola yang terbuka kekanan dan melalui titik (1,0). Dengan demikian
maka grafik I adalah parabola<span style="mso-spacerun: yes;"> </span>II tetapi
yang terletak di atas sumbu x saja.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; tab-stops: 97.25pt; text-align: justify; text-indent: 74.15pt;">
<span style="mso-ignore: vglayout;">
</span></div>
<table align="left" cellpadding="0" cellspacing="0">
<tbody>
<tr>
<td height="4" width="54"><br /></td>
</tr>
<tr>
<td><br /></td>
<td><img height="224" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image137.gif" width="433" /></td>
</tr>
</tbody></table>
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"> </span><br />
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; text-align: justify;">
<br /></div>
<br clear="ALL" style="mso-ignore: vglayout;" />
<div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; text-align: center;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;">
</span>y = </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image139.gif" width="46" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; tab-stops: 365.6pt right 396.9pt; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-tab-count: 1;"> </span>x<span style="mso-tab-count: 1;"> </span></span></div>
<div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; text-align: center;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">y = - </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image139.gif" width="46" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Contoh 2</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; text-align: justify;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Lukislah grafik<span style="mso-spacerun: yes;">
</span>: a). y =<span style="mso-spacerun: yes;"> </span>2 + </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image139.gif" width="46" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; text-align: justify; text-indent: -3.8pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">penyelesaian
:</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; text-align: justify; text-indent: -3.8pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">persamaan dapat ditulis y – 2 = </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image139.gif" width="46" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>namakan
y – 2 = y<sup>1</sup> maka y<sup>1</sup> = </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image139.gif" width="46" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">. Grafik fungsi – y<sup>1</sup> = </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image139.gif" width="46" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>adalah
bagian atas dari parabola. Persamaan sumbu simetrisnya y = 0 atau y- 2 = 0 atau
y = 2</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="mso-ignore: vglayout;">
</span></div>
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<tbody>
<tr>
<td height="10" width="65"><br /></td>
</tr>
<tr>
<td><br /></td>
<td><img height="197" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image140.gif" width="297" /></td>
</tr>
</tbody></table>
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"> </span><br />
<br clear="ALL" style="mso-ignore: vglayout;" />
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; tab-stops: 59.85pt 1.0in 175.8pt; text-align: justify; text-indent: -3.8pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-tab-count: 2;"> </span>y<sup>1</sup> = 0<span style="mso-tab-count: 1;"> </span>y = 2 + </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image139.gif" width="46" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; tab-stops: 274.9pt; text-align: justify; text-indent: -3.8pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 2;"> </span>x<sup>1</sup></span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-left: .25in; mso-add-space: auto; tab-stops: 2.0in; text-align: justify; text-indent: -3.8pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-tab-count: 2;"> </span>(1,2)</span></div>
<div class="MsoNormal" style="line-height: 150%; tab-stops: 62.65pt;">
<span style="height: 197px; margin-left: 81px; margin-top: 757px; mso-ignore: vglayout; position: absolute; width: 297px; z-index: 20;"><img height="197" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image141.gif" width="297" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-tab-count: 1;"> </span>y = 0</span></div>
<div class="MsoNormal" style="line-height: 150%;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">kesimpulan :</span></div>
<div class="MsoNormal" style="line-height: 150%; tab-stops: 28.35pt 279.6pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-tab-count: 1;"> </span>Grafik y = 2 +</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image063.gif" width="47" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>adalah
bagian atas parabola yang sumbunya diturunkan 2 satuan.</span></div>
<div class="MsoNormal" style="line-height: 150%; tab-stops: 61.7pt 279.6pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Dengan
cara sama diperoleh pula:</span></div>
<div class="MsoNormal" style="line-height: 150%; tab-stops: 61.7pt 279.6pt;">
<span style="height: 262px; margin-left: 64px; margin-top: 42px; mso-ignore: vglayout; position: absolute; width: 367px; z-index: 18;"><img height="262" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image142.gif" width="367" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Grafik y
= -3 + </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image063.gif" width="47" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>adalah
parabola yang sumbu simetrinya dinaikkan tiga satuan.</span></div>
<div class="MsoNormal" style="line-height: 150%; tab-stops: 61.7pt 279.6pt;">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Contoh 3</span></div>
<div class="MsoNormal">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Lukislah grafik y = 3 - </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="22" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image144.gif" width="128" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Penyelesaian:</span></div>
<div class="MsoNormal">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Kita perhatikan fungsi </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image146.gif" width="118" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">a = -4, D= 256 - 192 = 64> 0, sehingga
grafiknya merupakan ellips. Maka grafik fungsi y = +3 - </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="22" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image144.gif" width="128" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>adalah
bagian bawah dari ellips yang sumbu<span style="mso-spacerun: yes;"> </span>x
nya diturunkan 3 satuan, untuk mencari puncak-puncak ellips maka fungsi </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image146.gif" width="118" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>di ubah
menjadi </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image148.gif" width="270" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">. Maka </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="20" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image150.gif" width="149" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>untuk x
= -2, dan (x + 2)<sup>2</sup><sub>eks</sub> = 1 untuk </span></div>
<div class="MsoNormal">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">y<sup>1</sup> = 0 </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image152.gif" width="141" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
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<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"> </span><br />
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<br /></div>
<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-language: AR-SA; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-font-kerning: 0pt; mso-hansi-theme-font: major-bidi;"><br clear="all" style="mso-special-character: line-break; page-break-before: always;" />
</span></b>
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<b style="mso-bidi-font-weight: normal;"><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">BAB III</span></b></div>
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<b style="mso-bidi-font-weight: normal;"><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">PENUTUP</span></b></div>
<div class="MsoListParagraph" style="line-height: 200%; margin-left: 14.2pt; mso-add-space: auto; mso-list: l0 level1 lfo11; text-indent: -14.2pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Kesimpulan</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .25in; text-align: justify; text-indent: 17.45pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Persamaan irrasional ialah persamaan yang
mengandung arti di dalam tanda akar, umpama: </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "MS Mincho"; mso-fareast-language: JA; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="21" src="file:///C:/Users/ADMINI%7E1/AppData/Local/Temp/msohtmlclip1/01/clip_image007.gif" width="47" /></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>= x – 5.
</span></div>
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<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Persamaan
irrasional diselesaikan dengan mengkuadratkan kedua ruasnya. Tetapi<span style="mso-spacerun: yes;"> </span>Di dalam mengkuadratkan ruas – ruas suatu
persamaan perlu diingat dalil</span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoNormal" style="line-height: 200%; margin-left: .25in; text-indent: 10.35pt;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Pertidaksamaan
irrasional adalah pertidaksamaan yang variabelnya ada di dalam<span style="mso-spacerun: yes;"> </span>tanda akar.<br />
Penyelesaian:<br />
• Susunlah dahulu bila kedua ruas seimbang.<br />
(Bila ada dua tanda akar letakkan satu di ruas kiri, satu di ruas kanan; bila
ada tiga tanda akar letakkan satu di ruas kiri, dua di ruas kanan atau
sebaliknya).<br />
• Kuadratkan kedua ruasnya.<br />
(tanda tidak berubah karena yang dikuadratkan adalah bilangan positif).<br />
• Selesaikan pertidaksamaannya <br />
• Jawabannya adalah yang memenuhi syarat (1) dan (2) di atas.</span></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 200%; margin-left: 21.3pt; mso-add-space: auto; mso-list: l0 level1 lfo11; text-indent: -.25in;">
<span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-bidi; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-bidi; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Saran </span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 21.3pt; mso-add-space: auto; text-align: justify; text-indent: 21.25pt;">
Dalam pembutan
makalah ini kami menyadari banyak <span style="mso-spacerun: yes;"> </span>kekeliruan dan masih jauh dari kata sempurna,
Oleh karena itu kami mengharapkan dari semua pihak untuk memberikan kritik dan
saran yang bersipat membangun,untuk kelancaran pembuatan makalah selanjutnya.
Namun, kami berharap makalah kami bisa bermanfaat bagi kita semua terutama bagi
pemakalah…. Amiiin ya Robbal Alamiiin!!!</div>
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Daftar Pustaka</div>
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<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%;">
Mutadi. 2008. <i>Bergelut
dengan si asyik Matematika. </i>Kudus. PT. Listafariska <span style="mso-spacerun: yes;"> </span>Putra</div>
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<cite>habibi-aja.blogspot.com/2008/06/<b style="mso-bidi-font-weight: normal;">pertidaksamaan</b>.html</cite></div>
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<a href="http://hendrinizar.blogspot.com/2008/03/persamaan%20dan%20pertidaksamaan%20irrasional.%20html">http://hendrinizar.blogspot.com/2008/03/persamaan
dan pertidaksamaan irrasional. html</a></div>
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<br /></div>ary_daman blogzzhttp://www.blogger.com/profile/15410419259767119470noreply@blogger.com0