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15 May, 07:52

Find the zeros of the function. Write the smaller solution first, and the larger solution second.

f (x) = (x + 4) ^2 - 25

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  1. 15 May, 08:07
    0
    x = - 9,1

    Step-by-step explanation:

    f (x) = (x + 4) ^2 - 25

    Set the function equal to zero

    0 = (x + 4) ^2 - 25

    Add 25 to each side

    25 = (x + 4) ^2 - 25+25

    25 = (x + 4) ^2

    Take the square root of each side

    ±sqrt (25) = sqrt ((x + 4) ^2)

    ±5 = x+4

    Separate into two equations

    5 = x+4 - 5 = x+4

    Subtract 4 from each side

    5-4 = x+4-4 - 5-4 = x+4-4

    1 = x - 9 = x
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