1.|×+1|=|2×-3| 2.|×-3|=|3×+1| Berapakah nilai mutlaknya

Materi : Persamaan Mutlak

Pembahasan :
|x + 1| = |2x - 3|
(x + 1)² = (2x - 3)²
(2x - 3)² - (x + 1)² = 0
(2x - 3 + x + 1)(2x - 3 - x - 1) = 0
(3x - 2)(x - 4) = 0
x = 2/3
x = 4

Hp : {2/3 , 4}

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

Hp : {-2 , 1/2}