SOLUTION: The sum of squares of two consecutive odd integers is 394. Find the numbers.

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Question 186721: The sum of squares of two consecutive odd integers is 394. Find the numbers.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be one number. The x+2 is the next higher odd one
x%5E2+%2B+%28x%2B2%29%5E2+=+394
x%5E2+%2B+x%5E2+%2B+4x+%2B+4+=+394
2x%5E2+%2B+4x+-+390+=+0
2%28x-13%29%28x%2B15%29=+0
so x = 13 or -15
answer are 13,15 and -15,-13