Hasil dari persamaan nilai |x-7|=|3x-1|

Bab Nilai Mutlak
Matematika SMA Kelas X

|x - 7| = |3x - 1|

(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
4x = 8
x = 2

-2x - 6 = 0
-2x = 6
x = -3

HP = { -3, 2 }