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26 June, 00:44

Complete the square to determine the minimum or maximum value of the function defined by the expression. x2 - 10x + 15

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  1. 26 June, 04:05
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    minimum: - 10

    Step-by-step explanation:

    Add and subtract the square of half the x-coefficient:

    x² - 10x + (-5) ² - (-5) ² + 15

    Express the first three terms as a square; simplify the remaining terms.

    (x - 5) ² - 10

    This expression describes a parabola that opens upward and has its vertex at (x, y) = (5, - 10). The minimum value is - 10.
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