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Math Help - Newton's Method

  1. #1
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    Newton's Method

    Apply newton's method to the equation x^2-a=0 to derive the following square-root algorithm: Xn+1= \frac12(Xn+a/Xn)

    f(x)=x^2-a
    f'(x)=2x

    What's next?...
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  2. #2
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    Come on guys... I really need help
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  3. #3
    Behold, the power of SARDINES!
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    Quote Originally Posted by Fosite View Post
    Apply newton's method to the equation x^2-a=0 to derive the following square-root algorithm: Xn+1= \frac12(Xn+a/Xn)

    f(x)=x^2-a
    f'(x)=2x

    What's next?...

    Just plug into the formula for Newtons method

    x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}

    and simplify and whola you are done
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  4. #4
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    Quote Originally Posted by TheEmptySet View Post
    Just plug into the formula for Newtons method

    x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}

    and simplify and whola you are done
    my question is which X1 should I choose? and is the final formula always contains a?
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