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.

Submitted by Brian Smith

Rating: 3.2500 (4 votes)

Solution: (Hide)

There are only 3 unique solutions. {A,B,C}: {3,3,3}, {2,3,6}, and {2,4,4}.
Also if negative numbers are included, the enswer will be any set in the form of {-X,1,X}
Ender provides an explanation here .

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
answer	K Sengupta	2007-09-26 06:45:30
re: partial solution	Ender	2003-07-18 04:20:33
re: solution?	exoticorn	2003-07-18 04:02:13
partial solution	Ender	2003-07-18 03:59:27
solution?	Charlie	2003-07-18 02:29:31

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