Exercise 2.7: Let f(x) = x² - 2x - 3=0 (a) Find the two roots for f(x) analytically. (b) Show that f(x) can be rearranged into the following forms x = 9₁(x) = √2x+3 x = 92(x) = = x = 93(x) = 3 x-2 -3 2 (c) With these three expressions for gi(x), use the fixed point iteration method to find the approximate root for f(x). Start with the initial guess of xo = 4. Compare your solutions to the answer you get in part a).

Exercise 2.7: Let f(x) = x² - 2x - 3=0 (a) Find the two roots for f(x) analytically. (b) Show that f(x) can be rearranged into the following forms x = 9₁(x) = √2x+3 x = 92(x) = = x = 93(x) = 3 x-2 -3 2 (c) With these three expressions for gi(x), use the fixed point iteration method to find the approximate root for f(x). Start with the initial guess of xo = 4. Compare your solutions to the answer you get in part a).

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 64E

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