Matematika

Pertanyaan

nilai x yang memenuhi pertidaksamman|2x+1|<= 5

2 Jawaban

  • 2x + 1 < = 5
    2x < = 5 - 1
    2x < = 4
    2x : 2 < = 4 : 2
    x < = 2
  • (2x + 1)² = 5²
    4x² + 4x + 1 = 25
    4x² + 4x - 24 = 0
    (4x² - 8x) + (12x - 24) = 0
    4x(x - 2) + 12(x - 2)
    (4x + 12)(x - 2) = 0
    4x + 12 = 0          x - 2 = 0
    4x = -12                   x = 2
      x = -3

    -3≤ x ≤ 2

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