Use Newton's method with initial approximation x₁ = 1 to find x₂, the second approximation to the root of the equation x4 – x − 1 = 0. (Round your answer to four decimal places.) Use Newton's method with the specified initial approximation x₁ to find x3, the third approximation to the root of the given equation. (Round your answer to four decimal places). ³+2x-1=0 x₁=3
Use Newton's method with initial approximation x₁ = 1 to find x₂, the second approximation to the root of the equation x4 – x − 1 = 0. (Round your answer to four decimal places.) Use Newton's method with the specified initial approximation x₁ to find x3, the third approximation to the root of the given equation. (Round your answer to four decimal places). ³+2x-1=0 x₁=3
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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Transcribed Image Text:Use Newton's method with initial approximation
x₁ = 1
to find x₂, the second approximation to the root of the equation
x4-x-1= 0. (Round your answer to four decimal places.)
Use Newton's method with the specified initial approximation x₁ to find x3, the third approximation to the root of the
given equation. (Round your answer to four decimal places).
x³ + 2x-1=0, x₁ = 3
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