Nilai x yg memenuhi persamaan |3x+4|=|x-1| adalah...

Bab Nilai Mutlak
Matematika SMA Kelas X

|3x + 4| = |x - 1|

(3x + 4)² = (x - 1)²
(3x + 4)² - (x - 1)² = 0
(3x + 4 + x - 1) (3x + 4 - x + 1) = 0
(4x + 3) (2x + 5) = 0
4x + 3 = 0
4x = -3
x = -3/4

2x + 5 = 0
2x = -5
x = -5/2

HP = { -5/2, -3/4 }