perplexus.info :: Just Math : Reciprocal Equation #2

Reciprocal Equation #2 (Posted on 2003-07-20)

Find all sets of positive integers A, B, and C which satisfy

1/A = 1/B + 1/C.

See The Solution Submitted by Brian Smith

Rating: 3.4000 (5 votes)

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My first shot

| Comment 9 of 15 |

I believe the sets are of the form {N,N+X,N+(N*N/X)} such that (N*N/X) is an integer.

Posted by Thomas on 2003-07-22 04:55:39

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