MathDB

1

Part of 2003 Czech-Polish-Slovak Match

Problems(1)

System of equations: max(x_i, i)=x_{i+1}

Source: Czech-Polish-Slovak 2003 Q1

4/28/2013
Given an integer n≥2n \ge 2, solve in real numbers the system of equations \begin{align*} \max\{1, x_1\} &= x_2 \\ \max\{2, x_2\} &= 2x_3 \\ &\cdots \\ \max\{n, x_n\} &= nx_1. \\ \end{align*}
algebrasystem of equationsalgebra unsolved