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13 January, 08:58

The square of a number plus the number is 182. Find any numbers that satisfy the situation.

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  1. 13 January, 12:54
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    x = -14 x=13

    Step-by-step explanation:

    Let x be the unknown number

    x^2 + x = 182

    Subtract 182 from each side

    x^2 + x - 182 = 182-182

    x^2 + x - 182=0

    What two numbers multiply to - 182 and add to 1

    14*-13 = 182

    14-13 = 1

    (x+14) (x-13) = 0

    Using the zero product property

    x+14=0 x-13 = 0

    x = -14 x=13
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