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Show that an equation x²-x-1=0 can be written as follows: (a) x: x 8₁(x) x x² + x + 1 (b) x=1+- =8₂(x) Forg, and g₂ do iteration up to three steps starting with x = 1.5. Based on the result, decide the best expression for g and approximate the root.

Show that an equation x²-x-1=0 can be written as follows: (a) x: x 8₁(x) x x² + x + 1 (b) x=1+- =8₂(x) Forg, and g₂ do iteration up to three steps starting with x = 1.5. Based on the result, decide the best expression for g and approximate the root.

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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Question 8 Show that an equation x²-x-1=0 can be written as follows: 1 स (a) x=- -8₁(x) x x² + x + 1 (b) x=1+- =8₂(x) For g, and 82 do iteration up to three steps starting with x = 1.5. Based on the result, decide the best expression for g and approximate the root.
Transcribed Image Text:Question 8 Show that an equation x²-x-1=0 can be written as follows: 1 स (a) x=- -8₁(x) x x² + x + 1 (b) x=1+- =8₂(x) For g, and 82 do iteration up to three steps starting with x = 1.5. Based on the result, decide the best expression for g and approximate the root.
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