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18 February, 22:48

Complete the square to determine the maximum or minimum value of the function defined by the expression. - x2 - 10x + 14 A) minimum value at 25 B) maximum value at 39 C) maximum value at - 5 D) minimum value at - 39

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  1. 18 February, 23:12
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    B) maximum value at 39
  2. 18 February, 23:13
    0
    B) maximum value at 39.

    Step-by-step explanation:

    maximum value at 39

    First, set the expression equal to 0.

    -x2 - 10x + 14 = 0

    Complete the square.

    -x2 - 10x = - 14

    - (x2 + 10x) = - 14

    - (x2 + 10x + 25) = - 39

    - (x + 5) 2 + 39 = 0.

    Therefore, the maximum value is 39.
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