Answered

IDNLearn.com offers a user-friendly platform for finding and sharing answers. Get timely and accurate answers to your questions from our dedicated community of experts who are here to help you.

The equation f(x) is given as x2 – 4 = 0. Considering the
initial approximation at x=6 then the value of next
approximation correct upto 2 decimal


Sagot :

Cricetusidn

Answer:

The correct answer is "[tex]\frac{10}{3}[/tex]".

Explanation:

The given function is:

[tex]f(x)=x^2-4=0[/tex]

and,

[tex]x_0=6[/tex]

By differentiating with the help of Newton's Raphson method, we get

⇒ [tex]x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}[/tex]

then,

⇒ [tex]x_1=x_0-\frac{f(x_0)}{f'(x_0)}[/tex]

        [tex]=6-\frac{f(6)}{f'(6)}[/tex]

        [tex]=6-\frac{(6)^2-4}{2\times 6}[/tex]

        [tex]=6-\frac{8}{3}[/tex]

        [tex]=\frac{10}{3}[/tex]  

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.