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Integer triplets (Posted on 2017-02-21) Difficulty: 3 of 5
 Solve:

x^2 + 2yz+ 5x = 2
y^2 + 2zx+ 5y = 2
z^2 + 2xy+ 5z = 2

Pen and paper only, please.

See The Solution Submitted by Ady TZIDON    
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re: Solution | Comment 3 of 4 |
(In reply to Solution by Brian Smith)

Before anybody objects, I want to go on record as liking all of Brian's triplets.  Nothing in the text of the problem requires integer solutions.  The title has the word integer in it, but the title is gratuitous unless incorporated by reference into the problem, which is not the case here.
  Posted by Steve Herman on 2017-02-22 10:27:34

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