MathDB

\frac{4x^2}{1+4x^2}= y,\frac{4y^2}{1+4y^2}= z, \frac{4z^2}{1+4z^2}= x

Source: Switzerland - Swiss TST 1999 p4

February 19, 2020

system of equationsalgebra

Problem Statement

Find all real solutions

(x,y,z)

of the system

\begin{cases}\dfrac{4x^2}{1+4x^2}= y\\ \\\dfrac{4y^2}{1+4y^2}= z\\ \\ \dfrac{4z^2}{1+4z^2}= x \end{cases}