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Topic: Help with Newton Raphson equation
Replies: 1   Last Post: Nov 27, 2012 10:08 AM

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Posts: 132
Registered: 11/27/12
Re: Help with Newton Raphson equation
Posted: Nov 27, 2012 10:08 AM
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Do you not know what "Newton Raphson" is? You are asked to solve 4x^4- 2x^3+ 5= 0 using Newton Raphson with initial value x= 2.

The "Newton Raphson" method is to, given a starting x_n, find the next x_(n+1)= x_n- f(x_n)/f'(x_n).

Here, f(x)= 4x^4- 2x^3+ 5 and f'(x)= 16x^3- 6x. With x= 2, f(2)= 4(16)- 2(8)+ 5= 64- 16+ 5= 43 and f'(2)= 16(8)- 6(2)= 128- 12= 116.

That is, with x1= 2, x2= 2- 43/116= 1.63.

Now what is x2?

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