Consider the equation f(x) = x³ – 2x² − 11x + 12 on the interval [1.78, 8.25]. (a) Find the minimum number of iterations required to find the root of the given equation within the error bound of 1 x 10-³. (b) Show 5 iterations using the Bisection Method to find the root of the above function within the interval [1.78, 8.25].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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3. Consider the equation f(x) = x³ - 2x² – 11x + 12 on the interval [1.78, 8.25].
(a)
Find the minimum number of iterations required to find the root of the given equation within the
error bound of 1 x 10-3.
(b)
Show 5 iterations using the Bisection Method to find the root of the above function within the
interval [1.78, 8.25].
Transcribed Image Text:3. Consider the equation f(x) = x³ - 2x² – 11x + 12 on the interval [1.78, 8.25]. (a) Find the minimum number of iterations required to find the root of the given equation within the error bound of 1 x 10-3. (b) Show 5 iterations using the Bisection Method to find the root of the above function within the interval [1.78, 8.25].
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