Tentukan nilai x yang memenuhi persamaan | x2 – 10x + 20| = 4

tentukan nilai x yang memenuhi persamaan | x2 – 10x + 20| = 4

Jawaban yang benar adalah x = 2, x = 4, x = 6, dan x = 8

Ingat!
Jika |f(x)| = a, a>0, maka f(x) = a atau f(x) = -a

Asumsi:
|x² – 10x + 20| = 4

Perhatikan
|x² – 10x + 20| = 4
x² – 10x + 20 = 4 atau x² – 10x + 20 = -4
x² – 10x + 16 = 0 atau x² – 10x + 24 = 0
(x-2)(x-8) = 0 atau (x-4)(x-6) = 0
x-2 = 0 atau x-8 = 0 atau x-4 = 0 atau x-6 = 0
x = 2 atau x = 8 atau x = 4 atau x = 6

Jadi, nilai x yang memenuhi persamaan tersebut adalah x = 2, x = 4, x = 6, dan x = 8

Rekomendasi lainnya :

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