|x+3|=|2x-3| Caranya?

Bab Nilai Mutlak
Matematika SMA Kelas X

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

x + 3 = 2x - 3
3 + 3 = 2x - x
x = 6

x + 3 = - 2x + 3
3 - 3 = - 2x - x
-3x = 0
x = 0

HP = {0, 6}

Mapel : Matematika
Kelas : X SMA
Bab : Nilai Mutlak

Pembahasan :
|x + 3| = |2x - 3|
(2x - 3)² = (x + 3)²
(2x - 3)² - (x + 3)² = 0
(3x)(x - 6) = 0
3x² - 18x = 0
x² - 6x = 0
x(x - 6) = 0
x = 0
x = 6

Hp : {0 , 6}