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23 December, 00:24

What value completes the square for the expression x^2+16x

64

8

-64

-8

+1
Answers (1)
  1. 23 December, 00:37
    0
    You have the expression x^2+16x. Then, to find the value that completes the square for it, you must apply the following proccedure:

    x^2+16x=0

    x^2+16x+0=0

    This quadratic equation needs to have the following form:

    a (x+d) ^2+e

    Then, you have:

    (b/2) ^2 = (16/2) ^2 = (8) ^2=64

    Therefore, the expression is:

    x^2+16x+64=64

    (x+8) ^2=64

    The answer is the first option = 64
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