Matematika

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1 Jawaban

  • Bab Fungsi
    Matematika SMP Kelas VIII

    f(x) = ax² + bx + c

    f (0) = 1
    a . 0² + b . 0 + c = 1
    c = 1

    f(1) = 2
    a . 1² + b . 1 + c = 2
    a + b + 1 = 2
    a + b = 2 - 1
    a + b = 1

    f(3) = 10
    a . 3² + b . 3 + c = 10
    9a + 3b + 1 = 10
    9a + 3b = 10 - 1
    9a + 3b = 9
    3a + b = 3

    **************************

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

    a + b = 1
    1 + b = 1
          b = 1 - 1
          b = 0

    f(x) = ax² + bx + c
          = 1 . x² + 0 . x + 1
          = x² + 1
          = 1 + x²