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Add to Product Inverse (Posted on 2009-03-06) Difficulty: 3 of 5
Determine all possible triplet(s) (x,y,z) of positive rational numbers, with x ≥ y ≥ z, such that each of x + (yz)-1, y + (zx)-1 and, z + (xy)-1 is an integer.

See The Solution Submitted by K Sengupta    
Rating: 4.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Solution from outline proofSteve Herman2009-03-12 08:32:52
SolutionSolution from outline proofHarry2009-03-11 20:29:02
Hints/TipsOutline proof (spoiler)Steve Herman2009-03-10 10:42:21
re: computer explorationCharlie2009-03-06 18:54:27
Some Thoughtscomputer explorationCharlie2009-03-06 13:00:00
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