bantu jawab ya teman-teman.... Question from @andikapratamayt89

LordKeyarga07

Jawaban:

1. x² - 6x + 8 = 0

x² - 6x = -8

x² - 6x + 3² = -8 + 3²

x² - 6x + 3² = -8 + 9

x² - 6x + 3² = 1

(x - 3)² = ± 1

$x - 3= ± \sqrt{1}$

$x - 3 = ±1$

$x = ±1 + 3$

x1 = 1 + 3

x1 = 4

x2 = -1 + 3

x2 = 2

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2. x² + 9x + 20 = 0

${x}^{2} + 9x = - 20$

${x}^{2} + 9x + {( \frac{9}{2} })^{2} = - 20 + {( \frac{9}{2} })^{2}$

${x}^{2} + 9x + {( \frac{9}{2} })^{2} = 20 + \frac{81}{4}$

${(x + \frac{9}{2} })^{2} = \frac{ - 80}{4} + \frac{81}{4}$

${(x + \frac{9}{2} })^{2} = \frac{1}{4}$

$x + \frac{9}{2} = ± \sqrt{ \frac{1}{4} }$

$x + \frac{9}{2} = \frac{1}{2}$

$x = ±\frac{1}{2} - \frac{9}{2}$

$x1 = \frac{ 1}{2} - \frac{9}{2}$

$x1 = \frac{ - 8}{2} = \bold{- 4}$

$x2 = \frac{ - 1}{2} - \frac{9}{2}$

$x2 = \frac{ - 10}{2} = \bold{ - 5}$

1 votes Thanks 1

yusufraihan70

Penjelasan dengan langkah-langkah:

x2 - 6x + 8 = 0 Dijabarkan menjadi

( x - 2) ( x - 4 ) = 0

x - 2=0

X1= 2

X2 - 4=0

X2 = 4

maka diperoleh (X1,X2) adalah (2,4)

x2 + 9x + 20= 0

( x + 5) ( x +4)=0

x +5=0

x1= -5

x +4=0

x2= -4

maka diperoleh hasil dari X1 X2 adalah (-5,-4)

0 votes Thanks 0

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