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24 July, 21:38

Some of the steps for completing the square to solve x2 + 5x = 2 are shown. x2 + 5x = 2 x2 + 5x + = 2 + Which are solutions of x2 + 5x = 2? Check all that apply.

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  1. 25 July, 00:27
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    The solutions would be + 0.37 and - 0.37.

    When completing the square, we take 1/2 of the value of b (in this case 5). 5/2=2.5. We then square this number: 2.5²=6.25. We add this value to both sides of the equation:

    x²+5x+6.25 = 2+6.25

    (x+2.5) ² = 8.25

    Take the square root of both sides:

    √ (x+2.5) ² = √8.25

    x + 2.5 = 2.87

    Subtract 2.5 from both sides:"

    x+2.5-2.5 = 2.87-2.5

    x = 0.37

    We have to take the positive and negative values for solutions, however, since a square root has both positive and negative answers.
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