MathDB

Regional Olympiad - FBH 2014 Grade 12 Problem 1

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2014

September 24, 2018

real numbersalgebraequation

Problem Statement

Find all real solutions of the equation:

x=\frac{2z^2}{1+z^2}

y=\frac{2x^2}{1+x^2}

z=\frac{2y^2}{1+y^2}