Question

If f(x) = x2

-117 = 0 then the iterative formula for Newton Raphson Method is given

by
​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

If f(x) = x2-117 = 0 then the iterative formula for Newton Raphson Method is given by  $x(n+1)=0.5[x(n)+\frac{117}{x(n)}]$.

​Step-by-step explanation:

Given,

f(x) = $x^{2} - 117 = 0$

To be found,

Iterative formula for Newton Raphson method = ?

Concept to be used - Iterative formula for Newtons Raphson method depends on initial values and also converges slowly.

Taking,

$x(n+1) = 0.5[x(n) + \frac{117}{x(n)}]$

Since, N = 117,

Therefore,

$x(n+1)=0.5[x(n)+\frac{117}{x(n)}]$

Hence, the iterative formula for Newton Raphson Method is given by $x(n+1)=0.5[x(n)+\frac{117}{x(n)}]$