Tentukan nilai x yang memenuhi persamaan berikut: |x+1|²-5|x+1|=-6.
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nilai mutlak
|x + 1|² – 5|x + 1| = -6
a² – 5a + 6 = 0
(a – 2)(a – 3) = 0
a – 2 = 0 → a = 2
atau
a – 3 = 0 → a = 3
a = 2
|x + 1| = 2
x + 1 = 2
x = 1
atau
x + 1 = -2
x = -3
a = 3
|x + 1| = 3
x + 1 = 3
x = 2
x + 1 = -3
x = -4
Nilai x yang memenuhi :
-4 , -3 , 1 , 2