Given two real numbers p and q, we study the following system of equations with variables x,yāR:
\begin{align*} x^2+py+q&=0,\\
y^2+px+q&=0.
\end{align*}
Determine the number of distinct solutions (x,y) in terms of p and q. quadraticssystem of equationsequationquadratic equationalgebraalgebra proposedGermany