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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use Newton's method to approximate a root of the equation x³ + x + 3 = 0 as follows. Let x₁ = -1 be the initial approximation. The second approximation 2 is and the third approximation 3 is Use Newton's method to approximate a root of the equation 2x³ + 6x +3 = 0 as follows. Let x₁ = -1 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 x³ + x + 3 = 0 as follows. Let x₁ = -1 be the initial approximation. The second approximation 2 is and the third approximation 3 is Use Newton's method to approximate a root of the equation 2x³ + 6x +3 = 0 as follows. Let x₁ = -1 be the initial approximation. The second approximation 2 is and the third approximation x3 is
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