SOLUTION: here is the problem: the sum of the squares of two positive even integers is 340. Find the integers................I am clueless

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Question 3398: here is the problem: the sum of the squares of two positive even integers is 340. Find the integers................I am clueless
Answer by drglass(89) About Me  (Show Source):
You can put this solution on YOUR website!
A quick way to solve a problem like this is to experiment. You know neither of the numbers can be bigger than sqrt%28340%29+=+18.4, so what happens when you square 18? 18%5E2+=+324 and 340 - 324 = 16, well the sqrt%2816%29+=+4 so your numbers are 18 and 4. 18%5E2+%2B+4%5E2+=+324+%2B+16+=+340.