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The sum = the product (Posted on 2013-04-04) Difficulty: 2 of 5
Find ALL integer solutions of

Same question if non-integer solutions are accepted.

No Solution Yet Submitted by Ady TZIDON    
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Some Thoughts Partial solution | Comment 1 of 2

A little algebra shows that x=(y+z)/(yz-1).  The equation can be satisfied for any choice of y and z, as long as their product is not 1. 

By inspection, one set of integer solutions are in the form {0,-n,n} for any integer n.

  Posted by Bryan on 2013-04-04 10:20:44
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