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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A (partial?) solution

| Comment 7 of 15 |

For integer P, Q, setting A=PQ, B=P(P+Q), C=Q(P+Q) gives a solution.

Posted by Federico Kereki on 2003-07-21 07:59:33

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