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

Bab Nilai Mutlak
Matematika SMA Kelas X

|x + 1| = |2x - 3|
(x + 1)² = (2x - 3)²
(x + 1)² - (2x - 3)² = 0
(x + 1 + 2x - 3) (x + 1 - 2x + 3) = 0
(3x - 2) (-x + 4) = 0
3x - 2 = 0   atau -x + 4 = 0
3x = 2                -x = -4
x = 2/3               x = 4

HP = { 2/3, 4 }

Materi : Persamaan Mutlak

Pembahasan :
|x + 1| = |2x - 3|

2x - 3 = x + 1
2x - x = 1 + 3
x = 4

2x - 3 = -(x + 1)
2x - 3 = -x - 1
2x + x = -1 + 3
3x = 2
x = 2/3

Hp : {4 , 2/3}