MathDB

System of equations - standard

Source: Polish MO 2006

April 8, 2006

algebra proposedalgebra

Problem Statement

Solve in reals: \begin{eqnarray*}a^2=b^3+c^3 \\ b^2=c^3+d^3 \\ c^2=d^3+e^3 \\ d^2=e^3+a^3 \\ e^2=a^3+b^3 \end{eqnarray*}