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31 July, 23:26

Use completing the square to solve the equation x2+10x=-5. x2+10x=-5. first determine the number you must add to both sides of the equation.

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  1. 1 August, 01:49
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    x^2 + 10x = - 5

    To complete the square, we need to add a constant on the left side that makes the expression on the right a perfect square trinomial. We need to add the same value on the right side to keep the equation equal. So,

    x^2 + 10x + a = - 5 + a

    where a is the square of one-half the coefficient of x, therefore:

    a = (10 / 2) ^2 = 25

    x^2 + 10x + 25 = - 5 + 25

    (x + 5) ^2 = 20

    Taking the square root of both sides:

    x + 5 = ± 4.47

    x = - 5 ± 4.47

    x = - 9.47, - 0.53
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