Tentukan penyelesaian dari |2x - 5/ x - 1| = 3

Materi : Persamaan Nilai Mutlak

Pembahasan :
|2x - 5| / |x - 1| = 3
|2x - 5| = 3|x - 1|
|2x - 5| = |3x - 3|
(2x - 5)² = (3x - 3)²
(3x - 3)² - (2x - 5)² = 0
(3x - 3 + 2x - 5)(3x - 3 - 2x + 5) = 0
(5x - 8)(x + 2) = 0
x = 8/5
x = -2

Hp : {-2 , 8/5}

Nilai Mutlak

|2x - 5 / x - 1| = 3
|2x - 5| = 3|x - 1|
|2x - 5| = |3x - 3|

2x - 5 = 3x - 3
2x - 3x = -3 + 5
-x = 2
x = -2

2x - 5 = -(3x - 3)
2x - 5 = -3x + 3
2x + 3x = 3 + 5
5x = 8
x = 8/5

HP {-2 , 8/5}

Semoga berguna +_+