Question

Tentukan nilau x dari |x+2/x-2|=5
pake caranya ya

Answer 1

Verified answer

Materi : Nilai Mutlak
Bahasan : Persamaan Nilai Mutlak
Jawaban : x = 4/3 atau x = 3

Langkah - langkah :
|f(x)| = a, ⇒ f(x) = a atau f(x) = - a
|(x + 2) / (x - 2)| = 5

⇒ (x + 2) / (x - 2) = 5
x + 2 = 5(x - 2)
x + 2 = 5x - 10
x - 5x = - 10 - 2
- 4x = - 12
x = 3

⇒ (x + 2) / (x - 2) = - 5
x + 2 = - 5(x - 2)
x + 2 = - 5x + 10
x + 5x = 10 - 2
6x = 8
x = 8/6
x = 4/3