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14 June, 02:48

Solve x^2+10x=24 by completing the sqaure. which is the solution set of the equation

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  1. 14 June, 05:32
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    {-12, 2}

    Step-by-step explanation:

    x^2 + 10x = 24

    Take half of the x-term coefficient and square it. Add that to both sides.

    Half of 10 is 5. 5^2 = 25.

    x^2 + 10x + 25 = 24 + 25

    (x + 5) ^2 = 49

    x + 5 = + / -sqrt (49)

    x + 5 = 7 or x + 5 = - 7

    x = 2 or x = - 12

    {-12, 2}
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