Matematika

Pertanyaan

|x-2|=|3-2x|
Minta tolong, caranya yg jelas

1 Jawaban

  • |x-2| = |3-2x|
    (x-2)² = (3-2x)²
    x²-4x+4 = 4x²-12x+9
    x²-4x+4 -4x² + 12x -9 = 0
    -3x² +8x -5 =0
    (-3x²+3x) (5x-5) = 0
    -3x (x-1) 5(x-1) = 0
    (-3x+5) (x-1) = 0
    ∴ -3x+5 = 0       atau     x-1 = 0
       -3x = -5                      x = 1
          x = -5/-3
             = 5/3

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