1. Given f(x)=2x+3x-6. a) Prove that f(x)=0 has at least one root in the interval [1, 2]. b) Show that f(x)=0 can be written in the following forms: i. z = ii. z= 6-2z4 3 c) By taking 10 = 1, show that which iteration scheme (either 1(b)(i) or 1(b)(ii)) is appropiate to be used in fixed point iteration method. Hence, find the root of the equation and stop the iteration when 1,-1,-1|< 0.005.

1. Given f(x)=2x+3x-6. a) Prove that f(x)=0 has at least one root in the interval [1, 2]. b) Show that f(x)=0 can be written in the following forms: i. z = ii. z= 6-2z4 3 c) By taking 10 = 1, show that which iteration scheme (either 1(b)(i) or 1(b)(ii)) is appropiate to be used in fixed point iteration method. Hence, find the root of the equation and stop the iteration when 1,-1,-1|< 0.005.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.3: Quadratic Equations

Problem 81E

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