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Question: Intersection of line and ellipse - how do i find both intesect points

Question:Intersection of line and ellipse - how do i find both intesect points

Christopher2222 5850 Maple
June 25 2009
0

I have an equation of a line that intersects the ellipse.  I can get Maple to find one intersection.  How do I get the other?

E1:=x^2/300+y^2/1000=1;

E2:=y=2*x+40;

solve({E1,E2},{x,y});

evalf(%);

gives me {x=-4.810723698, y=30.37855260}

or I could use fsolve({E1,E2},{x,y}); and get the numeric result right away. 

There is a second intersection point I can find graphically around x=-5 y=30 but I don't know how to get maple to find it numerically.

 
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