Kuis +50: ¼x² - ¹/₆ bisa ditulis ¹/₃₆(ax+√b)(ax-√b) Nilai b/a = .... Question from @KLF

KLF @KLF

April 2022 2 15 Report

Kuis +50:
¼x² - ¹/₆ bisa ditulis
¹/₃₆(ax+√b)(ax-√b)
Nilai b/a = ....

Martin1103

Jawaban:

Penjelasan dengan langkah-langkah:

ada di foto

SEMOGA MEMBANTU

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1 votes Thanks 2

Fxiad

$\frac{1}{4} {x}^{2} - \frac{1}{6} = \frac{1}{36} (ax + \sqrt{b} )(ax - \sqrt{b} ) \\ \frac{1 \times 9}{4 \times 9} {x}^{2} - \frac{1 \times 6}{6 \times 6} = \frac{1}{36} ( {a}^{2} {x}^{2} - ({ \sqrt{b} })^{2} ) \\ \frac{3}{36} {x}^{2} = \frac{ {a}^{2} {x}^{2} - b}{36} \\ 3 {x}^{2} \times 36 = 36( {a}^{2} {x}^{2} - b) \\ 108 {x}^{2} = 36 {a}^{2} {x}^{2} - 36b \\ \\ \\ 108 \: \cancel{{x}^{2} } = 36 {a}^{2} \cancel{ {x}^{2} } \\ 36 {a}^{2} = 108 \\ {a}^{2} = 3 \\ a =± \sqrt{3} \\ \\ \\ 108 {x}^{2} = 36(± \sqrt{3} ) {}^{2} {x}^{2} - 36b \\ \cancel{ 108{x}^{2} } = \cancel{ 108{x}^{2} } - 36b \\ \\ b = 0$

b/a

= 0/±√3

= 0

2 votes Thanks 2

Fxiad Mohon koreksinya

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