tentukan nilai x yg memenuhi persamaan |6x-12|=|x+8|

Bab Nilai Mutlak
Matematika SMA Kelas X

|6x - 12| = |x + 8|

(6x - 12)² - (x + 8)² = 0
(6x - 12 + x + 8) (6x - 12 - x - 8) = 0
(7x - 4) (5x - 20) = 0
7x - 4 = 0            atau         5x - 20 = 0            
7x = 4                                 5x = 20
x = 4/7                                x = 4

HP = { 4/7, 4 }