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15 November, 10:09

The sum of the square of a positive number and the square of 2 more than the number is 202. What is the? number?

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  1. 15 November, 10:19
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    x^2 + (x + 2) ^2 = 202

    x^2 + x^2 + 4x + 4 = 202

    2x^2 + 4x + 4 = 202

    2x^2 + 4x - 198 = 0

    x^2 + 2x - 99 = 0

    x = - 2/2 ± √ ((2/2) ^2 - (-99))

    x = 9 or x = - 11

    -11 is not a positive number so the number is 9.
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