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6 December, 23:34

Solve for x in the equation x squared minus 14 x + 31 = 63. x = - 16 or x = 2 x = negative 7 plus-or-minus 3 StartRoot 7 EndRoot x = - 2 or x = 16 x = 7 plus-or-minus 3 StartRoot 7 EndRoot

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  1. 6 December, 23:35
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    Question:

    Solve for x in the equation

    x² - 14x + 31 = 63.

    A. x = - 16 or x = 2

    B. x = - 7 ± 3 √7

    C. x = - 2 or x = 16

    D. x = 7 ± 3 √7

    Answer:

    C. x = - 2 or x = 16

    Step-by-step explanation:

    Given

    x² - 14x + 31 = 63.

    Required

    Solve for x

    We start by converting the expression x² - 14x + 31 = 63. to a quadratic equation.

    This is done by subtracting 63 from both sides

    x² - 14x + 31 - 63 = 63 - 63

    x² - 14x - 32 = 0

    Expand the above expression

    x² - 16x + 2x - 32 = 0

    Factorize

    x (x - 16) + 2 (x - 16) = 0

    (x + 2) (x - 16) = 0

    x + 2 = 0 or x - 16 = 0

    x = - 2 or x = 16

    Hence, option C is correct;

    x = - 2 or x = 16
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