Question 1 (8pts): Consider the following equation f(x)=x32x5=0 let's call a approximate percent relative error. a=xrmarrxrnewxrold100% a) Prove that the equation has a real root in [1.5,2.5] interval. b) Determine the root in [1.5,2.5] by using five iterations of the bisection method, with initial guesses of x1=1.5 and x11=2.5. c) Determine the real root by using the Newton-Raphson method with starting guess of the root x0=1.75 and use only five iterations