Question 2
Let $x$ and $y$ be real numbers such that:
$$\begin{cases}x^2+5xy+y^2=7,\\x^2y+xy^2=2,\\x+y\ne2.\end{cases}$$
Find all possible values of $x^2+y^2$. Show your full solution.
$$\begin{cases}x^2+5xy+y^2=7,\\x^2y+xy^2=2,\\x+y\ne2.\end{cases}$$
Find all possible values of $x^2+y^2$. Show your full solution.