Newton's Method? help please!!?

Use Newton's method to approximate the root of the equation
x^3=33x+66
that belongs to the interval (4,8).

Start with x0=8 and perform three iterations, i.e., find x1, x2, and x3.

Calculate lx0−x1l lx1−x2l , and lx3−x2l .

Answers:

1. Use Newton's method
xn+1=xn− f(xn) / f (xn)
where the function f has a positive leading coefficient so that f(x)= x^3-33*x-66 .


x1=?
lx1−x0l=?

x2=?
lx2−x1l= ?

x3=?
lx3−x2l=?