(1 + r^2 + x)^2 - (-1 + r)^2 ((1 + x)^2 + y^2)=0 2 (2 r^3 + (1 + x)^2 + y^2 - r (-1 + x^2 + y^2))=0
I am trying to plot $x$ and $y$ which are giving by the equations above so what I did is that I solve the second equation for $c$ then substituted the value of $c$ in the first equation and then used the
ContourPlot function to plot $x$ and $y$. The problem is that when solving for $c$ in the second equation we get three solutions and each one results in a different plot when substituted in the first equation. Also, there seems to be some disconnect at some areas. Why is this happening and is there a way to fix it?