Penyelesaian persamaan |2x-3|=|-x|

| 2x - 3 | = | -x |

2x - 3 = -x
2x + x = 3
3x = 3
x = 1

2x - 3 = -(-x)
2x - 3 = x
2x - x = 3
x = 3

Hp = {1, 3}

Materi : Persamaan Mutlak

Pembahasan :
|2x - 3| = |-x|
|2x - 3| = |-1| |x|
|2x - 3| = |x|
(2x - 3)² = x²
(2x - 3)² - x² = 0
(2x - 3 + x)(2x - 3 - x) = 0
(3x - 3)(x - 3) = 0

Hp : {1 , 3}