Question

Persamaan nilai mutlak
tentukan hp dari |x+1| = |2x-3|

Answer 1

|x + 1| = |2x - 3|

(x + 1)² = (2x - 3)²

(x² + 2x + 1) = (4x² -12x + 9)
x² - 4x² + 2x + 12x + 1 - 9 = 0
-3x² + 14x - 8 = 0
3x² - 14x + 8 = 0
(3x - 2)(x - 4) = 0

x = 2/3 atau x = 4