i need to solve this equation with newton raphson method

thank youQuote:

x^3-3x+1

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- Apr 4th 2011, 03:23 AMthomaztrizNewton raphson method
i need to solve this equation with newton raphson method

Quote:

x^3-3x+1

- Apr 4th 2011, 03:48 AMFernandoRevilla
By Bolzano's Theorem there is a solution in . Choose and construct the corresponding sequence.

- Apr 4th 2011, 04:15 AMHallsofIvy
Surely you are not expecting people to do this problem for you. Show what you have done. Of course, Newton-Raphson is an iterative method- for each approximation, , to the solution of f(x)= 0, should be a better approximation and, hopefully, the sequence will converge to a solution.

- Apr 4th 2011, 05:54 AMthomaztriz
- Apr 4th 2011, 06:44 AMHallsofIvy
Look at FernandoRevilla's post!

- Apr 4th 2011, 11:44 AMthomaztriz
http://i51.tinypic.com/2cdigq0.jpg

for an equation like this ...

newton raphson iterative scheme is given by

for the given equation f(x)=

first we find the location of the root by the method of tabulation . .

the table for f(x) is

x 0 1 2 3 4

f(x) -4 -13 -12 -1 28

the positive root is near x = 3

we take in newton raphson iterative scheme

we get ,

similarly ,

and

thus , the positive root is 3.0514 , correct to five significant digits