[Maxima] solution of system of quadratic eqns.

[Richard Fateman]

Commercial Macsyma has several choices ...

to solve

solve([(x-a)^2 + (y-b)^2 = r1^2,(x-c)^2 + (y-d)^2 = r2^2], [x,y]

on my home computer ...

using triangularize:  78 ms
using grobner:        516 ms
using resultant    25,484 ms.  and then returned [].

So it seems that using the triangularization method is the winner.

A debugged resultant presumably would take less time than the existing one.
I don't know how it would compare with the others, though.

RJF