Write in C program that does the following:

We want to find one of the roots of a cubic equation given by x^3 + x - 1 = 0 which is between 0 and 1 by an iterative method. Modify the equation above to x = 1/1 + x^2 Start with an appropriate initial value and do the iteration above until it is convergent. For example, x_0 = 0.5, x_1 = 1/1 + 0.5^2 = 0.8, x_2 = 1/1 + 0.8^2 = 0.609, x_3 = 1/1 + 0.609^2 = 0.728