SOLUTION: the sum of the squares of two consecutive even integers is 52. Find the integers.

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Question 560711: the sum of the squares of two consecutive even integers is 52. Find the integers.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
4^2 + 6^2 = 52, so {4,6} works. Additionally {-6,-4} works.

You could solve it algebraically by stating that x^2 + (x+2)^2 = 52, but they're integers and guess-and-check is 100 times easier. Just remember that {-6,-4} also works.