SOLUTION: Two consecutive odd integers have a product of 99. Find all sets of integers that satisfy this description.

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Question 210352: Two consecutive odd integers have a product of 99. Find all sets of integers that satisfy this description.
Answer by stanbon(48558) About Me  (Show Source):
You can put this solution on YOUR website!
Two consecutive odd integers have a product of 99. Find all sets of integers that satisfy this description.
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1st: 2x-1
2nd: 2x+1
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Equation:
(2x-1)(2x+1) = 99
4x^2-1 = 99
4x^2 = 100
x^2 = 25
x = 5 or -5
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If x = 5,
2x-1 = 9
2x+1 = 11
-----------------
If x = -5,
2x-1 = -11
2x+1 = -9
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Cheers,
Stan H.