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Newton's Method

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Hi,

Using Newton's Method, please find the root of y = x^3 - 7x - 2 that exists between 2 and 3. Please show all work.

Thank you.

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Solution Summary

Newton's Method is applied.

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Hello.
So, for Newton's method, you need to guess a solution first. Since you're assuming that the root exists between 2 and 3, will stick with that. Let's try a sample solution of 2.5, and call that x_0.

The formula for each successive root is given as (found in most calculus textbooks:):

x_{n+1} = x_n - f(x_n) / f ' (x_n)

Where, f(x) = x^3 - ...

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