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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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Hints/Tips re(2): Solution Comment 4 of 4 |
(In reply to re: Solution by Steve Herman)

Formally, I agree, although my intention was to ask for integer solutions only.

My opinion still is that  the title, usually related to problem's text,  implies integer triplets  only.

Nothing is wrong, as  long as we understand each other, in broadening the scope of the post, once the primary conditions are defined.

Liking (meaning preferring) or not is immaterial if you conceive that the solver acted following his own assumptions.

Within a couple of days I will publish the "official" solution mentioning both approaches.


  Posted by Ady TZIDON on 2017-02-22 11:59:55
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