Using newtons method, solve the equation, x^3-4x-12=0 accuratey to six decimal places?

Im having extreme troubles with this can anyone please help(Angry)

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- Aug 4th 2008, 04:43 AMNoAsherelolNewtons Method Help
Using newtons method, solve the equation, x^3-4x-12=0 accuratey to six decimal places?

Im having extreme troubles with this can anyone please help(Angry)

- Aug 4th 2008, 06:03 AMCaptainBlack
Newton's method uses the recursion:

to find a root of f(x)=0, so here we put:

Then:

Now we need a guess to get us started, we observe that is negative at and positive at (and nearer to zero at ) so we take as our starting value.

You will find this converges to the required accuracy after about 3 itterations.

RonL