Consider the equation x^3=1-2x, which has a unique root between x=0 and x=1. Apply Newton's method twice to approximate the solution if you use the initial approximation x0=1. Round each approximation to five decimal places. (You need to find x1 and x2)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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Consider the equation x^3=1-2x, which has a unique root between x=0 and x=1. Apply Newton's method twice to approximate the solution if you use the initial  approximation x0=1. Round each approximation to five decimal places. 

(You need to find x1 and x2)

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