perplexus.info :: Just Math : Reciprocal Equation #1

Reciprocal Equation #1 (Posted on 2003-07-18)

Find all sets of integers A, B, and C which satisfy the following:

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

See The Solution Submitted by Brian Smith

Rating: 3.2500 (4 votes)

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answer

Comment 5 of 5 |

(A, B, C) = (2, 4, 4); (2, 3, 6), (3,3,3), whenever A<=B<=C

and, (A,B,C) = (-x, 1, x) , where x is any nonzero integer.

Edited on August 26, 2023, 1:58 am

Posted by K Sengupta on 2007-09-26 06:45:30

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