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10 June, 21:01

Which is a zero of the quadratic function f (x) = 16x2 32x - 9?

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  1. 10 June, 21:37
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    A zero of a function is the value of x for which f (x) = 0

    f (x) = 16x^2 + 32x - 9 = 0

    16x^2 - 4x + 36x - 9 = 0

    (16x^2 - 4x) + (36x - 9) = 0

    4x (4x - 1) + 9 (4x - 1) = 0

    (4x + 9) (4x - 1) = 0

    4x + 9 = 0 and 4x - 1 = 0

    4x = - 9 and 4x = 1

    x = - 9/4 and x = 1/4
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