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14 December, 11:50

If a number is increased by its square, the result is 72 find the number

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  1. 14 December, 12:07
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    Translating into a mathematical equation:

    n + n^2 = 72

    Rewriting, n^2 + n - 72 = 0

    Factoring, (n+9) (n-8) = 0

    Solving for n: n = - 9 or n = 8

    You must check both answers before accepting one, the other or both.

    Example: suppose we check out n = 8. Then 8 + 8^2 = 72 is true, and n = 8 is a solution. Is n = - 9 a solution? Try it.
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