I have plotted two equations. How to get their intersection point?.......Thanks

ezplot('y-x^2+2.5*x=0');                
ezplot('(x-5)^2+(y-3)^2=4');

I have plotted above two equations and I want the exact coordinates of intersection point how to do it?

[Walter Roberson]

Are you sure you need the exact coordinates? Because for example one of the x coordinates of the 4 intersections is

x = (1/12) * (3^(1/2) * ((592325 + 720 * 19385^(1/2))^(2/3) + 65 * (592325 + 720 * 19385^(1/2))^(1/3) + 6985)^(3/4) + 15 * (592325 + 720 * 19385^(1/2))^(1/6) * ((592325 + 720 * 19385^(1/2))^(2/3) + 65 * (592325 + 720 * 19385^(1/2))^(1/3) + 6985)^(1/4) - 3^(1/2) * (-((592325 + 720*19385^(1/2))^(2/3) + 65*(592325 + 720*19385^(1/2))^(1/3) + 6985)^(1/2)*(592325 + 720*19385^(1/2))^(2/3) + 130*(592325 + 720*19385^(1/2))^(1/3)*((592325 + 720*19385^(1/2))^(2/3) + 65*(592325 + 720*19385^(1/2))^(1/3) + 6985)^(1/2) + 360*3^(1/2)*(592325 + 720*19385^(1/2))^(1/2)-6985*((592325 + 720*19385^(1/2))^(2/3) + 65*(592325 + 720*19385^(1/2))^(1/3) + 6985)^(1/2))^(1/2))/((592325 + 720*19385^(1/2))^(1/6)*((592325 + 720*19385^(1/2))^(2/3) + 65*(592325 + 720*19385^(1/2))^(1/3) + 6985)^(1/4))

and the corresponding y is at least twice as long.

Answer 1

[Doug Hull]

The cheap way to do this is to plot both and zoom in.

ezplot('(x-5)^2+(y-3)^2=4');
hold on
ezplot('y-x^2+2.5*x=0');

This all depends on what you mean by "exact".

The right answer is more along these lines:

http://www.mathworks.com/help/releases/R2014b/symbolic/examples/solving-algebraic-and-differential-equations.html