Matematika

Pertanyaan

pertidaksamaan kuadrat dari (2x-3)(x+2)<(2x+9)

1 Jawaban

  • = (2x - 3)(x + 2) < (2x + 9)
    = 2x^2 + 2x - 3x - 6 < 2x + 9
    = 2x^2 - x - 6 < 2x + 9 < - (2x^2 - x - 6)
    = 2x^2 - x - 6 < 2x + 9 < - 2x^2 +x + 6
    = 2x^2 - x - 6 -9 < 2x < - 2x^2 +x + 6 - 9
    = 2x^2 -x -15 < 2x < - 2x^2 +x - 3
    = (2x^2 - x - 15)/2 < x < (- 2x^2 +x + 6)/2
    = x^2 - (1/2)x - 15/2 < x < -x^2 + (1/2)x + 3

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