Matematika

Pertanyaan

Nilai mutlak 2x - 1 =nilai mutlak x + 3

1 Jawaban

  • |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

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