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Thread: Newton's method

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    Newton's method

    Use Newton's method to approximate the given number correct to eight decimal places

    130Radical130
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  2. #2
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    Quote Originally Posted by sheva2291 View Post
    Use Newton's method to approximate the given number correct to eight decimal places

    130Radical130
    Use the Newton method to approximate $\displaystyle \sqrt{130}$ , then multiply this approximation with 130 .

    then let $\displaystyle x=\sqrt{130} $

    square them , and let $\displaystyle f(x)=x^2-130$

    then find f'(x) , and let the initial approximation be 10 ,

    make use of

    $\displaystyle
    X_{n+1}=X_n-\frac{f(x)}{f'(x)}
    $
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  3. #3
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    Unless, of course, you mean $\displaystyle \sqrt[130]{130}$. In that case, use Newton's method with $\displaystyle f(x)= x^{130}- 130$.
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