Hi! We're doing Newton's method and I'm SO LOST! Lecturer only gave one example. Can anyone help me with the following question so I can compare? Don't know where to start! Annotations through your workings would be greatly appreciated. Thanks!!

Consider the solution of the following nonlinear equation using Newton's method.

After two iterations, using ten digit floating point arithmetic, the estimated solution is: x2 =0.2845382540

Using Newton's method find the next estimate of the solution and use this to determine an estimate of the error in x2.

Maintain at leastTENsignificant digits throughout all your calculations.

When entering your results you may round your answers to eight decimal digits.