SOLUTION: The sum of the squares of three consecutive even integers is 980. Find the integers. using qaudrautic modelling

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Question 1172920: The sum of the squares of three consecutive even integers is 980. Find the integers. using qaudrautic modelling
Answer by ikleyn(52799) About Me  (Show Source):
You can put this solution on YOUR website!
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    %28x-2%29%5E2 + x%5E2 + %28x%2B2%29%5E2 = 980


    x^2 - 4x + 4 + x^2 + x^2 + 4x + 4 = 980


    3x^2 + 8 = 980


    3x^2 = 980 - 8 = 972


    x^2 = 972/3 = 324


    x = sqrt%28324%29 = +/- 18.


ANSWER.   There are two such sequences. One is  16, 18, 20.

                                        The other is -20, -18  and -16.

Solved.