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Pertanyaan

Soal matematika. Tolong bantu ya. Thanks.
Soal matematika. Tolong bantu ya. Thanks.

1 Jawaban

  • Misal x1 = (p + 2) dan x2 = (p - 3)
    x^2 - 3x + 3m - 1 = 0
    x1 + x2 = -b/a
    (p + 2) + (p - 3) = -(-3)/1
    2p - 1 = 3
    2p = 4
    p = 2
    x1 = (p + 2) = 2 + 2 = 4
    x2 = (p - 3) = 2 - 3 = -1
    x1.x2 = c/a
    4(-1) = (3m - 1)/1
    -4 = 3m - 1
    -3m = 3
    m = -1

    Jadi persamaan kuadrat yang akar-akarnya
    (p + m) = (2 + (-1)) = 1 dan pm = 2(-1) = -2 adalah
    x^2 - (1 + (-2))x + 1(-2) = 0
    x^2 + x - 2 = 0