perplexus.info :: Just Math : Add to Product Inverse

Add to Product Inverse (Posted on 2009-03-06)

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)

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Subject	Author	Date
re: Solution from outline proof	Steve Herman	2009-03-12 08:32:52
Solution from outline proof	Harry	2009-03-11 20:29:02
Outline proof (spoiler)	Steve Herman	2009-03-10 10:42:21
re: computer exploration	Charlie	2009-03-06 18:54:27
computer exploration	Charlie	2009-03-06 13:00:00

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