I dont know what they want me to do!! and I dunno how to do it!

To solve the equation

byNewton's Methodwe start with a good initial guess and then run the iteration

until we get an approximation that is good enough for our purposes.

Suppose you want to compute the cube root of 4 by solving the equation

Since and Let's start with

Then

,

,

, and

To check your answer compute .