Consider the cubic equation $x^3+d=bx^2$ with $ b,d > 0 $.
The question is to give a geometric solution to this equation by interesting two conic sections.
In class, our teacher showed us how to construct the geometric solution of functions like $x^3+ax=d$, in which the solution is the intersections of a parabola and a circle. However, he didn't show how he got the exact function of the parabola and the circle. So I'm thinking maybe the answer is different since we have a higher order $x^2$? Is there a general way that we can solve this problem? Any hints will be very helpful!