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)

Comments: ( Back to comment list | You must be logged in to post comments.)

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

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (25)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info