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28 June, 15:32

Solve it: f (x) = - 4 (x-8) ^2+3

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  1. 28 June, 17:33
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    x = 8 + sqrt (3) / 2 or x = 8 - sqrt (3) / 2

    Step-by-step explanation by completing the square:

    Solve for x:

    3 - 4 (x - 8) ^2 = 0

    Subtract 3 from both sides:

    -4 (x - 8) ^2 = - 3

    Divide both sides by - 4:

    (x - 8) ^2 = 3/4

    Take the square root of both sides:

    x - 8 = sqrt (3) / 2 or x - 8 = - sqrt (3) / 2

    Add 8 to both sides:

    x = 8 + sqrt (3) / 2 or x - 8 = - sqrt (3) / 2

    Add 8 to both sides:

    Answer: x = 8 + sqrt (3) / 2 or x = 8 - sqrt (3) / 2
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