Matematika

Pertanyaan

Tentukan himpunan penyelesaian persamaan kuadrat dengan pemfaktoran :
X2-X-6=0
4X-X2=0
2X2+3X=35

1 Jawaban

  • x² - x - 6 = 0
    (x - 3)(x + 2) = 0

    x - 3 = 0
    x = 3

    dan

    x + 2 = 0
    x = -2

    HP = {-2, 3}

    ==========================
    4x - x² = 0
    x(4 - x) = 0

    x = 0

    dan

    4 - x = 0
    x = 4

    HP = {0, 4}
    ===========================
    2x² + 3x = 35
    2x² + 3x - 35 = 0
    (2x - 7)(x + 5) = 0

    2x - 7 = 0
    2x = 7
    x = 7/2

    dan

    x + 5 = 0
    x = -5

    HP = {-5, 7/2}

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