SOLUTION: The sum of the squares of three consecutive odd integers is 331. Find the odd integers.

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Question 884978: The sum of the squares of three consecutive odd integers is 331. Find the odd integers.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let N-2,N, and N%2B2 be the three consecutive integers.
%28N-2%29%5E2%2BN%5E2%2B%28N%2B2%29%5E2=331
N%5E2-4N%2B4%2BN%5E2%2BN%5E2%2B4N%2B4=331
3N%5E2%2B8=331
3N%5E2=333
N%5E2=111
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Something is wrong with your problem setup because 111 is not a perfect square so N is not an integer.
The closest sum of squares of 3 consecutive odd integers is 371.
Please repost.