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Math Help - Newton-Raphson

  1. #1
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    Newton-Raphson

    The equation

    x^4 - x - 5 = 0

    has a root \alpha between 1 and 2

    show that the newton-raphson formula for finding the value of \alpha can be written in the form

    x_{n+1} = \frac{3x^4_n+5}{4x^3_n-1}


    ok i simply don't know how it's done. but it's only worth 3 marks... :/

    NOR do i know the formula!!!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by djmccabie View Post
    The equation

    x^4 - x - 5 = 0

    has a root \alpha between 1 and 2

    show that the newton-raphson formula for finding the value of \alpha can be written in the form

    x_{n+1} = \frac{3x^4_n+5}{4x^3_n-1}


    ok i simply don't know how it's done. but it's only worth 3 marks... :/

    NOR do i know the formula!!!
    Google for "newton raphson"

    CB
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