Matematika

Pertanyaan

f(x)=ax^2+bx-6 jika f(-1)=-2 maka nilai dari a^2+b^2 adalah...
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1 Jawaban

  • Rumus Fungsi = f(x) = ax² + bx - 6
    Cari b
    = - a² - b - 6 = (-2)
    = - a² - b = (-2) + 6
    = - a² - b = 4
    = - a - b = √4
    = - a - b = 2
    = - a - 2 = b
    Cari a
    = - a² - a - 2 - 6 = - 2
    = - a - a - 2 = √4
    = - 2a = 2 + 2
    = - 2a = 4
    = a = 4 ÷ ( -2 )
    a = -2
    Mencari b
    b = - a - 2
    b = 2 - 2
    b = 0
    a² + b²
    = (-2)² + 0²
    = 4 + 0
    = 4

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