Find number of solutions in non-negative reals
Source:
November 19, 2005
trigonometryfunctionalgebra unsolvedalgebra
Problem Statement
Find number of solutions in non-negative reals to the following equations:
\begin{eqnarray*}x_1 + x_n ^2 = 4x_n \\ x_2 + x_1 ^2 = 4x_1 \\ ... \\ x_n + x_{n-1}^2 = 4x_{n-1} \end{eqnarray*}