Nilai mutlak 2x - 1 =nilai mutlak x + 3
Matematika
Soniatriana065
Pertanyaan
Nilai mutlak 2x - 1 =nilai mutlak x + 3
1 Jawaban
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1. Jawaban damanz
|2x-1| = |x+3|
(2x-1)² = (x+3)²
4x² -4x +1 = x² +6x +9
4x² -4x +1 - x² - 6x -9 = 0
3x² -10x -8 = 0
(3x²-12x) (2x-8) = 0
3x (x-4) 2(x-4) = 0
(3x+2) (x-4) = 0
∴ 3x+2 = 0 atau x-4 = 0
3x = -2 x = 4
x = -2/3