Explanation Given information: The equation: e x = 3 − 2 x Calculation: We are given e x = 3 − 2 x . We have to find the solution of this equation. We use Newton’s method to solve this and thus we consider f ( x ) = e x + 2 x − 3 . From the diagram it can be seen that the solutions are close to x = 1. Thus we use Newton’s method to find the solutions with the first approximations as x = 1. We know from Newton’s method that for a function f ( x ) and the initial approximation: x n + 1 = x n + f ( x n

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Chapter 3.8, Problem 24E

To determine

To find: all roots of ex=3−2x correct to six decimal places, using Newton’s method.

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Chapter 3.8, Problem 23E

Chapter 3.8, Problem 25E

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Chapter 3 Solutions

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all roots of e x = 3 − 2 x correct to six decimal places, using Newton’s method.

Solution Summary: The author explains how Newton's method is used to find the solution of ex=3-2x.

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To find: all roots of ex=3−2x correct to six decimal places, using Newton’s method.

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Chapter 3 Solutions