Matematika

Pertanyaan

fungsi kuadrat f(×)=p×2-4×+3 mempunyai nilai minimum 0.nilai p adalah

2 Jawaban

  • f(x) minimum jika f'(x) = 0

    f'(x) = 0
    2px - 4 = 0
    2px = 4
    x = 4/2p
    x = 2/p

    f min = 0
    f(2/p) = 0
    p×(2/p)^2 - 4×(2/p) + 3 = 0
    4/p - 8/p + 3 = 0
    -4/p = -3
    -3p = -4
    p = -4/-3
    p = 4/3

    jd nilai p = 4/3
  • f(x) = px^2 - 4x + 3 nilai minimumnya = 0
    D/(-4a) = 0
    D = 0
    b^2 - 4ac = 0
    (-4)^2 - 4(p)(3) = 0
    16 - 12p = 0
    -12p = -16
    p = 16/12 = 4/3

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