Board 8 > Newton's method someone please help me with this problem

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crazyisgood
04/09/12 2:50:00 PM
#1:


Use Newton's method to find the real root function, accurate to five decimal places

f(x) = x^5+2x^2+3


How would I go about solving this?


I used x[n] +1 = x[n] -(f(x[n]))/(f '(x[n]))

So i got f(x)=x^5 +2x^2 +3
f '(x)= 5x^4 +4x


Then I plugged it in and got x[n]=(x^5+2x^2+3)/(5x^4+4x)


Now I'm stuck what do I do next?

Can someone walk me through the steps to the answer?
Thank youuu in advance!!!!

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Gwindor
04/09/12 3:00:00 PM
#2:


Have you tried working through the derivatives one at a time?

The formula is a shorter way of doing the derivatives. I think you should work through them one at a time, in order to get a better understanding of the method.

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greengravy294
04/09/12 3:03:00 PM
#3:


Could try using wolfram alpha. That's usually my get out of hw hell free card. Haven't gotten up to that section yet myself so I can't really offer any other advice!

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