Matematika

Pertanyaan

1) hasil pemfaktoran dari 12x^2 + 2xy - 10y^2 adalah.....
2) diketahui (x) = x^2 - 5n , jika f(5) = 10 maka nilai n adalah ......
tolong jawab pakai caranya ya !!

2 Jawaban

  • 1)

    12x^2 + 2xy - 10y^2
    = 12x^2 + 12xy - 10xy - 10y^2
    = 12x(x + y) - 10y(x + y)
    = (12x - 10y)(x + y)
    Bisa jg :
    2(6x - 5y)(x + y)

    2)

    10 = 5^2 - 5n
    10 = 25 - 5n
    5n = 25 - 10
    5n = 15
    n = 15/5
    n = 3
  • f(x) = x²-5n
    f(5) => 5²-5n = 10
    => 25-5n-10 = 0
    => -5n + 15 = 0
    => -5n = -15
    => n = -15/-5
    => n = 3

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