|x-7|= |3x-1| tolong di jawab nilai mutlak

Materi Nilai Mutlak

Kuadratkan kedua ruas,
(x - 7)^2 = (3x - 1)^2
(x - 7)^2 - (3x - 1)^2 = 0
(x - 7 + 3x - 1)(x - 7 - 3x + 1) = 0
(4x - 8)(-2x - 6) = 0
4x - 8 = 0 => x = 2
-2x - 6 = 0 => x = -3
HP = {-3, 2}