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Show that an equation x³ -x-1=0 can be written as follows: 1 x²-1 (a) (b) x=1+ =g₁(x) X x²+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 x³ -x-1=0 can be written as follows: 1 x²-1 (a) (b) x=1+ =g₁(x) X x²+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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Show that an equation x³ -x-1=0 can be written as follows: 1 x²-1 (a) (b) x=1+ =g₁(x) X x²+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.
Transcribed Image Text:Show that an equation x³ -x-1=0 can be written as follows: 1 x²-1 (a) (b) x=1+ =g₁(x) X x²+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.
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