I'm given the following two equations:
x^3-4x=y, y^3-4y=x
to solve the system, I've just used
eqns:={x^3-4x=y,y^3-4y=x};
vars:={x,y};
solns:=solve(eqns,vars);
and have obtained only four solutions when I should instead get 9. Is there a mistake in my approach?