Tentukan penyelesian berikut |X + 3| = |2X -2|

Bab Nilai Mutlak
Matematika SMA Kelas X

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

(x + 3)² = (2x - 2)²
(x + 3)² - (2x - 2)² = 0
(x + 3 + 2x - 2) (x + 3 - 2x + 2) = 0
(3x + 1) (-x + 5) = 0
3x + 1 = 0        atau         -x + 5 = 0
3x = -1                             -x = -5
x = -1/3                            x = 5

HP = { -1/3, 5 }