Tentukan nilai x dari |2x-1|=|x-2|

Bab Nilai Mutlak
Matematika SMA Kelas X

|2x - 1| = |x - 2|

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

x + 1 = 0
x = -1

HP = { -1, 1 }