Question

Penyelesaian persamaan |2x -3| = |-x| adalah

Answer 1

Verified answer

|2x-3| = |-x|
kuadratkan kedua ruas
4x²-12x+9 = x²
3x²-12x+9 = 0
3x²-3x-9x+9 = 0
3x(x-1)-9(x-1) = 0
(3x-9)(x-1) = 0
3x = 9 atau x = 1
x = 3 atau x = 1

Answer 2

Verified answer

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

x = 3   x = 1

HP:{1,3}