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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 8E
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba58f2f6-b073-4116-825c-d767067833db%2F11527abf-8911-4974-b1d9-1047d29602fc%2F2c0f33i_processed.png&w=3840&q=75)
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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