parametrization of an ellipse

I wrote this code to get elliptical eqn in the form of (x^2)/(a^2)+(y^2)/(b^2) = 1 from user and i want find a and b . exp:((x^2)/16+(y^2)/25=1)

        ellipse_eqn = input('Enter for elliptical path: ','s') ;
        ellipse = str2sym(ellipse_eqn) 

Answer 1

[Matt J]

syms x y real

ellipse=(x^2)/16+(y^2)/25==1;

a=abs(solve([ellipse,y==0]).x(1))

a = 

4

b=abs(solve([ellipse,x==0]).y(1))

b = 

5