Use Newton's Method to Approximate the Indicated Root Of $x ^ { 4 } + x - 4 = 0$

question 5

Short Answer

Use Newton's method to approximate the indicated root of $x ^ { 4 } + x - 4 = 0$ in the interval $[ 1,2 ]$ , correct to six decimal places.
Use $x _ { 1 } = 1.5$ as the initial approximation.

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Definitions:

ProMES

A performance management system that focuses on measuring and improving job performance through specific goals and feedback.

Job Characteristics Approach

A theory that suggests jobs can be designed to enhance employee motivation, satisfaction, and performance by focusing on five core job dimensions.

Feedback

The process of providing constructive information regarding someone's performance or behavior to encourage improvement or reinforce positive actions.

Compressed Workweeks

Work schedules that allow employees to complete their usual work hours in fewer days, often involving longer individual work days.