Write a program in c++ to implement the fixed-point iteration method. Then use your code to find all the roots of f (x) = ?2 + 6x ? 4x^2 + 0.5x^3 ; the roots should be calculated such that the relative approximate error is less than 10^-6 . Notice that the method will not converge always, and thus a maximum number of iterations must be specified. Use the following initial guesses 0, 1.37, 6.2 . What do you observe? Your code should, for all iterations, output the iteration number, the current estimate of the root, and the relative approximate error.