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10.12. Use the Newton-Raphson method to solve f₁(x) = x - x₂-1=0 ƒ₂(x) = x² − x₁ − 1 =0 x=x2=1. Do two iterations only. Note: Exact solution is x₁ = x2 = 1.618. (An- other solution is x₁ = x2 = -0.618.)

10.12. Use the Newton-Raphson method to solve f₁(x) = x - x₂-1=0 ƒ₂(x) = x² − x₁ − 1 =0 x=x2=1. Do two iterations only. Note: Exact solution is x₁ = x2 = 1.618. (An- other solution is x₁ = x2 = -0.618.)

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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10.12. Use the Newton-Raphson method to solve f₁(x) = x - x₂-1=0 ƒ₂(x) = x² − x₁ − 1 =0 x=x2=1. Do two iterations only. Note: Exact solution is x₁ = x2 = 1.618. (An- other solution is x₁ = x2 = -0.618.)
Transcribed Image Text:10.12. Use the Newton-Raphson method to solve f₁(x) = x - x₂-1=0 ƒ₂(x) = x² − x₁ − 1 =0 x=x2=1. Do two iterations only. Note: Exact solution is x₁ = x2 = 1.618. (An- other solution is x₁ = x2 = -0.618.)
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