Let x² - 117 = 0. The iterative steps for the solution using Newton-Raphson's method is given by

A) $${{\text{x}}_{{\text{k}} + 1}} = \frac{1}{2}\left( {{{\text{x}}_{\text{k}}} + \frac{{117}}{{{{\text{x}}_{\text{k}}}}}} \right)$$ B) $${{\text{x}}_{{\text{k}} + 1}} = {{\text{x}}_{\text{k}}} - \frac{{117}}{{{{\text{x}}_{\text{k}}}}}$$ C) $${{\text{x}}_{{\text{k}} + 1}} = {{\text{x}}_{\text{k}}} - \frac{{{{\text{x}}_{\text{k}}}}}{{117}}$$ D) $${{\text{x}}_{{\text{k}} + 1}} = {{\text{x}}_{\text{k}}} - \frac{1}{2}\left( {{{\text{x}}_{\text{k}}} + \frac{{117}}{{{{\text{x}}_{\text{k}}}}}} \right)$$

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Correct Answer: Option A

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Let x2 - 117 = 0 The iterative steps for the...

Let x2 - 117 = 0. The iterative steps for the solution using Newton-Raphson's method is given by

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Let x² - 117 = 0. The iterative steps for the solution using Newton-Raphson's method is given by