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Topic: Sum of 2 reciprocals
Replies: 5   Last Post: Mar 2, 2002 6:53 PM

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Randall Rathbun

Posts: 79
Registered: 12/6/04
Re: Sum of 2 reciprocals
Posted: Mar 1, 2002 2:30 AM
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> What are the integer solutions of 1/x + 1/y = 1/z
Some, but not all, integer solutions are

x=k(k-1)n y=kn z=(k-1)n

x=k*(2k-1)n y=(k-1)*(2k-1)n z=k(k-1)n

where k is any constant, and n is any coefficient.

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