SOLUTION: The sum of the squares of 3 consecutive odd integers is 363. Find the odd integers.

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Question 1051019: The sum of the squares of 3 consecutive odd integers is 363. Find the odd integers.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The three odd integers are N-2, N, and N%2B2.
%28N-2%29%5E2%2BN%5E2%2B%28N%2B2%29%5E2=363
N%5E2-4N%2B4%2BN%5E2%2BN%5E2%2B4N%2B4=363
3N%5E2%2B8=363
3N%5E2=359
359 is not divisible by 3 so there is no solution.
The closest is 371 which is the sum of the squares of 9,11, and 13.