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Math Help - Help with Newton's Method.

  1. #1
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    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.
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  2. #2
    MHF Contributor MarkFL's Avatar
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    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.
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