fsolve accuracy with complex variables [SOLVED]

[parisse]

Unfortunately the solver simplified abs(x)^2 to x^2 (fsolve is essentially a real solver), this will happen with non holomorphic functions like re/im/conj/abs.
You can set z:=x+i*y; Z:=abs(z)^2-200*z+500+500*i; then solve([re(Z),im(Z)],[x,y]) for exact and fsolve for approx solutions.