SOLUTION: The sum of the squares of two consecutive integers is 265. Find the numbers.

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Question 176689: The sum of the squares of two consecutive integers is 265. Find the numbers.
Answer by Alan3354(69443) About Me  (Show Source):
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The sum of the squares of two consecutive integers is 265. Find the numbers.
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x%5E2+%2B+%28x%2B1%29%5E2+=+265
2x%5E2+%2B+2x+%2B+1+=+265
2x%5E2+%2B+2x+-+264+=+0
x%5E2+%2B+x+-+132+=+0
(x-11)*(x+12) = 0
x = 11
x+1 = 12
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x = -12
x+1 = -11
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