Suppose you wish to find the root r of a function f(x), that is, the value r where f(r)=0. One method is to make an initial guess, x0, compute the line tangent to f at x0, and find where the tangent line intercepts the x-axis, x1. Then, use x1 as the second guess and repeat this procedure n times until f(xn) approximately equals 0 and report xn as the root r. In the figure we see successive tangent lines of the function f(x) in red eventually intercept the xaxis at the root r. Write a program using an iteration structure to calculate the approximate root of the equation

x^3 + x = 2x^2 + 3

Write in C please.

- - - - - - -- - - y = f(x) xz x2 - - - - - - -- - - y = f(x) xz x2