Use Newton's method to approximate a root of the equation z + c + 3 - 0 as follows. Let I, = -1 be the initial approximation.. The second approximation I, is and the third approximation r3 is (Although these are approximations of the root, enter exact expressions for each approximation.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 67E
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Use Newton's method to approximate a root of the equation z* + ¤ + 3 = 0 as follows.
Let I - 1 be the initial approximation.
The second approximation r2 is
and the third approximation r3 is
(Although these are approximations of the root, enter exact expressions for each approximation.)
Transcribed Image Text:Use Newton's method to approximate a root of the equation z* + ¤ + 3 = 0 as follows. Let I - 1 be the initial approximation. The second approximation r2 is and the third approximation r3 is (Although these are approximations of the root, enter exact expressions for each approximation.)
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