SOLUTION: Find two consecutive positive odd numbers given that difference between their reciprocals is 2\63

Question 508462: Find two consecutive positive odd numbers given that difference between their reciprocals is 2\63
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find two consecutive positive odd numbers given that difference between their reciprocals is 2\63
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Just eyeing the numbers, I'd guess 7 & 9.
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Multiply thru by x(x+2)

(x+9)*(x-7) = 0
x = 7 --> 7 & 9
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x = -9 --> -9 & -7

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