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Approximate positive root of the equation \[ x^2-7x+9=0 \] using Newton-Raphson method with initial guess \(x_0=2\).

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In Newton-Raphson problems, one or two iterations are usually sufficient for objective questions. Carefully compute \(f(x_n)\) and \(f'(x_n)\) before substituting into \[ x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}. \]

Updated On: Jun 25, 2026

\(\frac{56}{33}\)
\(\frac{12}{5}\)
\(23\)
\(\frac{1}{2}\)

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The Correct Option is A

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Approximate positive root of the equation \[ x^2-7x+9=0 \] using Newton-Raphson method with initial guess \(x_0=2\).

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The Correct Option is A

Solution and Explanation

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