Use Newton's method to approximate a root of the equation 5x³ + 7x + 2 = 0 as follows. Let x₁ = -1 be the initial approximation. The second approximation ₂ is and the third approximation 3 is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 75E
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Use Newton's method to approximate a root of the equation 5x³ + 7x + 2 = 0 as follows.
Let x1 = -1 be the initial approximation.
The second approximation ₂ is
and the third approximation
3 is
Transcribed Image Text:Use Newton's method to approximate a root of the equation 5x³ + 7x + 2 = 0 as follows. Let x1 = -1 be the initial approximation. The second approximation ₂ is and the third approximation 3 is
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