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When finding the root of equation x³-x²-1=0 near xo=1.5, rewrite it to the following 4 types. Analysis the convergence of them, select the fast convergent one and then calculate the root with error tolerance 10-³. 1+1=1/1/201 (3) x = √√x³ −1 (1)x=1+ (2)x= √√1+x² (4)x= 1 √x-1

When finding the root of equation x³-x²-1=0 near xo=1.5, rewrite it to the following 4 types. Analysis the convergence of them, select the fast convergent one and then calculate the root with error tolerance 10-³. 1+1=1/1/201 (3) x = √√x³ −1 (1)x=1+ (2)x= √√1+x² (4)x= 1 √x-1

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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When finding the root of equation x²-x²-1=0 near xo=1.5, rewrite it to the following 4 types. Analysis the convergence of them, select the fast convergent one and then calculate the root with error tolerance 10³. (1)x=1+1/2 (3)x= √√√x³-1 (2) x = 3√/1+x² 1 (4)x = -√√x-1
Transcribed Image Text:When finding the root of equation x²-x²-1=0 near xo=1.5, rewrite it to the following 4 types. Analysis the convergence of them, select the fast convergent one and then calculate the root with error tolerance 10³. (1)x=1+1/2 (3)x= √√√x³-1 (2) x = 3√/1+x² 1 (4)x = -√√x-1
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