SOLUTION: What is the soulution to this word problem?? The sum of the squares of two consecutive integer positive odd integers is equal to one hundred thirty. Find two integers.

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Question 682185: What is the soulution to this word problem??
The sum of the squares of two consecutive integer positive odd integers is equal to one hundred thirty. Find two integers.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the squares of two consecutive integer positive odd integers is equal to one hundred thirty. Find two integers.
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1st: 2x-1
2nd: 2x+1
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Equation:
(2x-1)^2 + (2x+1)^2 = 130
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4x^2 - 4x + 1 + 4x^2 + 4x + 1 = 130
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8x^2 = 128
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8(x^2 - 16) = 0
(x-4)(x+4) = 0
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x = 4 or x = -4
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If x = 4:
2x-1 = 7
2x+1 = 9
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If x = -4
2x-1 = -9
2x+1 = -7
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Cheers,
Stan H.
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