|x - 1|² - 8 = 2 |x - 1|
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Jawaban
- |x - 1|² - 8 = 2 |x - 1|
- (x - 1)² - 8 = 2 × |x - 1|
- x² - 2x + 1 - 8 = 2 × |x - 1|
- x² - 2x - 7 = 2 × |x - 1|
- x² - 2x = 2 × |x - 1| + 7
- x² - 2x - 2 × |x - 1| = 7
ada dua kemungkinan yaitu :
- x² - 2x - 2(x-1) = 7, x - 1 ≥ 0
- x² - 2x - 2 × (-( x - 1)) = 7 , x - 1 < 0
x = -1
x = 5 ,
x ≥ 1
x = -3
x = 3 ,
x < 1
x = 5
x = -3
persamaan memiliki 2 penyelesaian
x¹ = 5 , x² = -3
#koreksi
[answer.2.content]
