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

Question 265476: two consecutive odd integers have a product of 99. find all sets of integers that satisfy this description.
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) (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 x = -5
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Numbers:
If x = 5,
2x-1 = 9
2x+1 = 11
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OR, if x = -5,
2x-1 = -11
2x+1 = -9
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Cheers,
Stan H.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Factor 99:
= 3*3*11 = 9*11
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9 & 11
-11 & -9
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