Results 1 to 2 of 2

Math Help - secant method

  1. #1
    Newbie
    Joined
    Jul 2009
    Posts
    24

    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?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    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
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Secant method in MATLAB
    Posted in the Math Software Forum
    Replies: 7
    Last Post: April 24th 2010, 10:53 AM
  2. Secant Method + Interpolation
    Posted in the Advanced Math Topics Forum
    Replies: 2
    Last Post: October 18th 2009, 08:49 AM
  3. Secant Method (Numerical Analysis)
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 27th 2008, 04:47 AM
  4. secant method
    Posted in the Math Software Forum
    Replies: 1
    Last Post: September 29th 2008, 11:03 PM
  5. Secant method with several variables
    Posted in the Advanced Math Topics Forum
    Replies: 0
    Last Post: April 9th 2008, 01:40 PM

Search Tags


/mathhelpforum @mathhelpforum