Question 1 Find a bound for the number of bisection method iterations needed to achieve an approximation with accuracy 0.001 to the solution of x²+x-4-0 lying in the interval [1,4] . Find an approximation to the root with this degree of accuracy.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 1E
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Question 1
Find a bound for the number of bisection method iterations needed to achieve an
approximation with accuracy 0.001 to the solution of x²+x-4-0 lying in the interval [1,4]
. Find an approximation to the root with this degree of accuracy.
Transcribed Image Text:Question 1 Find a bound for the number of bisection method iterations needed to achieve an approximation with accuracy 0.001 to the solution of x²+x-4-0 lying in the interval [1,4] . Find an approximation to the root with this degree of accuracy.
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