Generalized Fixed$-$Point Method

Approximately $40$ points

Given the nonlinear equation:

$f(x)=x^4-31x^3+305x^2-1025x+750=0$

Create a MATLAB script $($not a function$)$ to find a root of this equation using the Generalized Fixed$-$Point Iteration Method:

$x_i=g(x_{i-1})=x_i+c**f(x_{i-1})$

Start with $x_1=20$ and use a convergence tolerance of $1$E$-6.$ By trial and error, find a value of $"c"$ which enables the solution to converge to a root.

Please Note $-$create a MATLAB script $($not a function$)!!$