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Thread: secant method

  1. May 27th 2010, 03:47 AM #1
    doresa
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    secant method

    how to find an approximate value for 4^(3/4) using one step of the secant method with x0 = 3 and x1 = 2 ?

    (the actual value is about 2.8284)
    any help would be greatly appreciated?
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  2. May 28th 2010, 01:36 AM #2
    CaptainBlack
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    Quote Originally Posted by doresa View Post
    how to find an approximate value for 4^(3/4) using one step of the secant method with x0 = 3 and x1 = 2 ?

    (the actual value is about 2.8284)
    any help would be greatly appreciated?
    You want to find x such that x=4^{3/4} . To use the secant method you first need to rearrange this into the form: f(x)=0. In this case:

    f(x)=x^4-64

    will suffice, now you just apply the formula.

    x_{n+1}=x_n-\left[\frac{(x_n-x_{n-1})}{f(x_n)-f(x_{n-1})}\right]f(x_n)

    CB
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