SOLUTION: The sum of the squares of two consecutive even integers is 1684. Find the two integers.

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Question 558345: The sum of the squares of two consecutive even integers is 1684. Find the two integers.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the squares of two consecutive even integers is 1684. Find the two integers.
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sqrt%281684%2F2%29 = apx 29, the center
--> 28 & 30 (plus and minus)
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The hard way:
x%5E2+%2B+%28x%2B2%29%5E2+=+1684
2x%5E2+%2B+4x+%2B+4+=+1684
x%5E2+%2B+2x+-+840+=+0
--> same answer