Use Newton's method to approximate a root of the equation 2x³ +5x + 1 = 0 as follows. Let x₁= 2 be the initial approximation. x1 The second approximation 2 is and the third approximation 3 is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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Use Newton's method to approximate a root of the equation
2x³ + 5x + 1 = 0 as follows.
3
Let x₁ = 2 be the initial approximation.
The second approximation 2 is
and the third approximation x3 is
Transcribed Image Text:Use Newton's method to approximate a root of the equation 2x³ + 5x + 1 = 0 as follows. 3 Let x₁ = 2 be the initial approximation. The second approximation 2 is and the third approximation x3 is
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