Matematika

Pertanyaan

Nilai x yang memenuhi persamaan |5×+10|=-|3×+6|

2 Jawaban

  • |5x + 10| = -|3x + 6|
    = -3x - 6
    5x + 3x = -6-10
    8x = -16
    x = - 16/8
    x = -2
  • [5x+10] = -[3x+6]
    (5x + 10)² = (-3x - 6)²
    (5x + 10)² - (-3x -6)² = 0
    (5x + 10)² (3x+6)² = 0
    (5x +10+(3x+6)) (5x + 10 - (3x+6)) = 0
    (5x + 10+3x+6) (5x + 10-3x-6) = 0
    (8x+16) (2x+4) = 0
    →8x + 16 = 0
        8x         = -16
        x           = -16÷8
        x           = -2

    →2x+4     = 0
        2x         =-4
        x           = -4÷2
        x           = -2
    jadi hp adalah x=-2

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