SOLUTION: the difference between the reciprocals of two consecutive positive odd integer is 2/15 find the integer.

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Question 793297: the difference between the reciprocals of two consecutive positive odd integer is 2/15 find the integer.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
the difference between the reciprocals of two consecutive positive odd integer is 2/15 find the integer.
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1%2Fx+-+1%2F%28x%2B2%29+=+2%2F15
%28x%2B2+-+x%29%2F%28x%5E2%2B2x%29+=+2%2F15
2%2A15+=+2%28x%5E2%2B2x%29
x%5E2+%2B+2x+-+15+=+0
x = 3