SOLUTION: The sum of the squares of 2 positive consecutive odd numbers is 130. Find the numbers.

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Question 1015390: The sum of the squares of 2 positive consecutive odd numbers is 130. Find the numbers.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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x=first integer; x+2=second integer
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x%5E2%2B%28x%2B2%29%5E2=130
x%5E2%2Bx%5E2%2B4x%2B4=130
2x%5E2%2B4x-126=0
%282x-14%29%28x%2B9%29=0
2x-14=0 OR x%2B9=0
2x=14 OR x=-9
x=7 OR x=-9
Since -9 is not positive, the first number is 7.
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Second integer=x+2=7+2=9
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ANSWER: The numbers are 7 and 9.
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CHECK:
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7%5E2%2B9%5E2=130
49%2B81=130
130=130