Question

Nilai X yang memenuhi persamaan |2X-1| = |X-3|adalah

Answer 1

Verified answer

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

3x - 4 = 0
x = 4/3

sehingga nilai x yang memenuhi {-2, 4/3}