tentukan nilai × yg memenuhi persamaan 5 |2×-3| = 2 |3-5×|

Materi : Persamaan Mutlak

Pembahasan :
5|2x - 3| = 2|3 - 5x|
|10x - 15| = |6 - 10x|
(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 = 21/20

Hp : {21/20}