Problem

Source: Canada RepĂȘchage 2018/1

Tags: algebra, system of equations



Determine all real solutions to the following system of equations: $$ \begin{cases} y = 4x^3 + 12x^2 + 12x + 3\\ x = 4y^3 + 12y^2 + 12y + 3. \end{cases} $$