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Given the quadratic function f(x) = 16x2 – 64x + 64, find a value of x such that f(x) = 16.

  • math-quadratic equations -

    f(x) = 16x2 – 64x + 64
    for f(x)=16, write:
    16=16x² - 64x +64
    transpose 16 to the right, and factor out numeric factor 16:
    16(x² -4x +3) = 0
    Factor expression
    This means that x=3 or x=1, either one of which satisfies the equation

    Check by substituting x=3 or x=1 in f(x).

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