3 years ago

The equation f(x) is given as x2 – 4 = 0. Considering the

Social Studies

1 answer:

valentina_108 [34]3 years ago

6 0

Answer:

The correct answer is " $\frac{10}{3}$ ".

Explanation:

The given function is:

$f(x)=x^2-4=0$

and,

$x_0=6$

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

⇒ $x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}$

then,

⇒ $x_1=x_0-\frac{f(x_0)}{f'(x_0)}$

$=6-\frac{f(6)}{f'(6)}$

$=6-\frac{(6)^2-4}{2\times 6}$

$=6-\frac{8}{3}$

$=\frac{10}{3}$

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