Use Newton's method to approximate a root of the equation 5x° + 2x + 2 = 0 as follows. 1 be the initial approximation. 3 Let x1 = The second approximation x2 is and the third approximation x3 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
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 42E
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Use Newton's method to approximate a root of the
equation 5x° + 2x + 2
0 as follows.
1 be the initial approximation.
Let x1 =
-
The second approximation x2 is
and the third approximation x3 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 5x° + 2x + 2 0 as follows. 1 be the initial approximation. Let x1 = - The second approximation x2 is and the third approximation x3 is (Although these are approximations of the root, enter exact expressions for each approximation.)
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