2016 OIM Problems/Problem 2
Problem
Find all positive real solutions of the system of equations:
![\[x=\frac{1}{y^2+y-1},\; y=\frac{1}{z^2+z-1},\; z=\frac{1}{x^2+x-1}\]](http://latex.artofproblemsolving.com/2/5/1/2513d4ba98934cba664f2fc82001e413254ac2ec.png)
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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