Matematika

Pertanyaan

grafik fungsi kuadrat f(x)= ax2+bx+5 melalui titik a(-2,5) dan b(1,8). nilai (a2 + b2) =.....

1 Jawaban

  • Titik a : (-2,5)
    ax^2+bx+5 = y
    a(-2)^2+b(-2)+5 = 5
    4a-2b = 5-5
    4a-2b = 0

    Titik b : (1,8)
    a(1)^2+b(1)+5 = 8
    a+b = 8-5
    a+b = 3

    4a-2b = 0 (kali 1)
    a+b = 3 (kali 2)
    ----------------------
    4a-2b = 0
    2a+2b = 6
    -----------------(ditambah)
    6a = 6
    a = 6/6
    a = 1

    a+b = 3
    1+b = 3
    b = 2

    Nilai :
    (a^2+b^2)
    = ((1)^2+(2)^2)
    = (1+4)
    = 5

    Maaf jika ada kesalahan :)

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