Intersection of Conic Sections

*To*: mathgroup at smc.vnet.net*Subject*: [mg66277] Intersection of Conic Sections*From*: "irchans" <infinitgames at yahoo.com>*Date*: Sat, 6 May 2006 23:50:40 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

This seems like a simple question, but I am finding it diffucult to find a simple solution. What are the points of intersection of 0 = A1 + A2*x + A3*y + A4*x^2 + A5*x*y + A6*y^2 and 0 = B1 + B2*x + B3*y + B4*x^2 + B5*x*y + B6*y^2 where Ai and Bi are constants. When I solve this with mathematica, I get a rather complex expression. Is there a simple algorithm that finds all the roots? Cheers, Irchans

**Follow-Ups**:**Re: Intersection of Conic Sections***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>