Using the following methods, determine the real roots of ƒ(x)=2x³-11.1x² −26.75x+70.6 1. a) Rearrange the original function [with f(x) = 0] to find three iterative functions for x. Call them g₁(x), g2(x), and g(x). Use successive substitution (also known as fixed-point iteration) to solve for the roots in Excel: b) Use initial guesses of x= 1 for each of the iterative functions. How many iterations does it take each function to converge to an error of less than 0.0001? Do they all converge? What are the values of the roots found? c) Use initial guesses of x = 3 for each of the iterative functions given. How many iterations does it take each function to converge to an error of less than 0.0001? Do they all converge? What are the values of the roots found?