Question 48
Determine all real solutions of the system of equations:
$$
\begin{cases} 2a^2 - 2ab + b^2 = a, \\ 4a^2 - 5ab + 2b^2 = b. \end{cases}
$$
$$
\begin{cases} 2a^2 - 2ab + b^2 = a, \\ 4a^2 - 5ab + 2b^2 = b. \end{cases}
$$
MathNet 2011 Question 48
Math Olympiad Vault · MathNet 2011