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Reciprocal Equation #1 (Posted on 2003-07-18) Difficulty: 2 of 5
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
answerK Sengupta2007-09-26 06:45:30
re: partial solutionEnder2003-07-18 04:20:33
re: solution?exoticorn2003-07-18 04:02:13
Solutionpartial solutionEnder2003-07-18 03:59:27
Some Thoughtssolution?Charlie2003-07-18 02:29:31
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