Help with Newton's Method.

(a) Set up and simplify the iterative formula for Newton's method to solve for

solutions to the equation

x^2 - a = 0

(b) For a = 11 find and verify an interval of positive values of the type [n; n + 1]

that contains a solution and use the left hand side of the interval for x1 to find x2

and x3 as fractions.

Please Explain with steps. Thank You.

Re: Help with Newton's Method.

How far have you gotten with part a)? You should find that you derive a method for approximating square roots known to the Babylonians, although their method of derivation is somewhat simpler, but ingenious.