Newton Raphson Method Practice Problems Online

Let $f(x) = x^3 - 72x - 220.$ Given that $f(x)=0$ has a root near $x = 12,$ compute $x_1$ by using Newton-Raphson method starting with $x_0=12.$

By using the Newton-Raphson method, find the positive root of the following quadratic equation correct to $5$ significant figures: $x^2 + 9x - 5 = 0.$

Start with $x_0 = 2.2.$

Use the Newton-Raphson method, correct to $5$ significant figures, to get the root near $x = 2$ of the equation $f(x) = x^3 - 3x - 8.$

The equation $f(x) = 4e^x - 12$ has a root near $x = 1.$ Use the Newton-Raphson method to calculate the root correct to $5$ significant figures.

Let $f(x) = 4 x^2 - 8.$ Which of the following is the correct representation of $x_{n+1}$ that Newton-Raphson method leads to?

\left( x_n + \frac{1}{2 x_n} \right)

\frac{1}{2} \left( 4 x_n + \frac{2}{ x_n} \right)

2 \left( 4 x_n - \frac{2}{x_n} \right)

\frac{1}{2} \left( x_n + \frac{2}{x_n} \right)

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Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Numerical Methods

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Newton Raphson Method

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.