Hello,
In truth, I am feeling like an idiot but it has been a long while since I have done math.
What I want to do is find the intersection points between a parabola and a circle. After I put both equations in x and set them equal, I have:
var('y')
solve (sqrt(16-x^2) - 1/4*x^2-1.28==0, x)
Problem is, I get the following for answers:
[x == -2/5*sqrt(25*sqrt(-x^2 + 16) - 32), x == 2/5*sqrt(25*sqrt(-x^2 + 16) - 32)]
If I need to numerically solve the equation, which I think I must do, how do I do it in Sage?