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23 August, 15:20

The square of a negative number is 28 more than three times the negative number

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  1. 23 August, 15:23
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    Let the number be x, and remember that x is negative.

    Then x^2 = 3x + 28. Rearranging terms, x^2 - 3x - 28 = 0

    Factoring, (x+4) (x-7) = 0. Solving for x, x=-4 and x=7. Discard x=7.

    The answer is x=-4.

    Check: Is this true for x = - 4?

    " The square of a negative number is 28 more than three times the negative number."

    (-4) ^2 = 28 + 3 (-4) or 16 = 28 - 12 yes, this is true.
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