Matematika

Pertanyaan

Mnta bantuannya y Kak..?!?!
Mnta bantuannya y Kak..?!?!

1 Jawaban

  • Misal garis k tersebut adalah y = mx + c
    k melalui (1, -8) => -8 = m(1) + c => c = -m - 8
    y = mx + c => y = mx - m - 8
    Garis k menyinggung y = x^2 di kuadran2 di titik (a, a^2)
    y = y
    x^2 = mx - m - 8
    x^2 - mx + m + 8 = 0
    Karena menyinggung D = 0
    b^2 - 4ac = 0
    (-m)^2 - 4(1)(m + 8) = 0
    m^2 - 4m - 32 = 0
    (m - 8)(m + 4) = 0
    m = 8 atau m = -4

    Jika m = 8
    x^2 - mx + m + 8 = 0
    x^2 - 8x + 8 + 8 = 0
    x^2 - 8x + 16 = 0
    (x - 4)(x - 4) = 0
    x = 4 ====> dikuadran 1

    Jika m = -4
    x^2 - mx + m + 8 = 0
    x^2 - (-4)x + (-4) + 8 = 0
    x^2 + 4x + 4 = 0
    (x + 2)(x + 2) = 0
    x = -2 =========> dikuadran 2
    y = x^2 = (-2)^2 = 4

    Jadi a = -2