Metode kuadrat dari |2x-1| = |x+3|

Bab Nilai Mutlak
Matematika SMA Kelas X

|2x - 1| = |x + 3|

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

HP = { -2/3, 4 } 

Materi : Persamaan Mutlak

Pembahasan :
|2x - 1| = |x + 3|
(2x - 1)² = (x + 3)²
4x² - 4x + 1 = x² + 6x + 9
3x² - 10x - 8 = 0
(3x + 2)(x - 4) = 0
x = -2/3
x = 4

Hp : {-2/3 , 4}