Given two random points $(x_0,y_0)$ and $(x_1,0)$ and some condition, I have an equation $C[(x-x_0)^2+(y-y_0)^2]=[(x-x_1)^2+y^2]^2$ which is a perfect circle if I ignore the power (2) on the RHS. However, considering the power on the RHS, which makes it an imperfect circle, I aim to apply some approximation so that I can obtain the equation of a circle i.e. $(x-A)^2+(y-B)^2=r^2$
Just for the illustration, I have taken some random points and plotted the above equation in Mathematica, which gives me an imperfect circle as expected 