Tentukan Himpunan penyelesaian dari : [6x + 1] - [5x + 3] = 0

Bab Nilai Mutlak
Matematika SMA Kelas X

|6x + 1| - |5x + 3| = 0
|6x + 1| = |5x + 3|

(6x + 1)² = (5x + 3)²
(6x + 1)² - (5x + 3)² = 0
(6x + 1 + 5x + 3) (6x + 1 - 5x - 3) = 0
(11x + 4) (x - 2) = 0
11x + 4 = 0
11x = -4
x = -4/11

x - 2 = 0
x = 2

HP = { -4/11, 2 }