Hi, I need help with parts (c), (d) and (e):

Consider the following cubic equation (5) 51:3 + 9:10 : 18. (1) First, we want to locate geometrically the solution of the equation of above. (a) Prove that there exists a unique real solution to Equation QED. (State carefully which theorems you use.) From now on we denote this unique solution by 123. (b) By following the method of Omar Khayyam provide the Cartesian equation of a circle C and a parabola 73 such that they intersect at one point and this point has for rst coordinate mg, in mathematical symbols: C 073 I {(235193)} Where yg is a real number. Write down the centre and the radius of the circle C. (c) Draw 73 and C and indicate where :63 is in your diagram. (d) Find the unique natural number n satisfying that n