5|2x-3|=2|3-5x| jadi berapakah nilai mutlak nilai x yng memenuhi

Matematika Wajib
Persamaan Mutlak X SMA

Pembahasan :
5|2x - 3| = 2|3 - 5x|
[5(2x - 3)]² = [2(3 - 5x)]²
(10x - 15)² = (6 - 10x)²
(10x - 15)² - (6 - 10x)² = 0
(10x - 15 + 6 - 10x)(10x - 15 - 6 + 10x) = 0
(-9)(20x - 21) = 0
-180x + 189 = 0
180x = 189
x = 189/180
x = 21/20

Hp : {21/20}