tentukan nilai x yang memenuhi | x-3 | - | x+2 | = 5

Materi : Persamaan Mutlak

Pembahasan :
|x - 3| - |x + 2| = 5
|x - 3| = 5 + |x + 2|
(x - 3)² = (5 + x + 2)²
(x - 3)² = (x + 7)²
(x + 7)² - (x - 3)² = 0
(x + 7 + x - 3)(x + 7 - x + 3) = 0
(2x + 4)(10) = 0
2x + 4 = 0
2x = -4
x = -2

Hp : {-2}