Use Newton's method to approximate a root of the equation 3x" + 4x* + 3 = 0 as follows. Let 21 = 1 be the initial approximation. The second approximation r2 is 0.729 and the third approximation a3 is 0.252 (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
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Use Newton's method to approximate a root of the equation 3x" + 4x* + 3 = 0 as follows.
Let ¤i = 1 be the initial approximation.
The second approximation x2 is 0.729
and the third approximation 23 is 0.252
(Although these are approximations of the root, enter exact expressions for each approximation.)
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Transcribed Image Text:> Next question 3 Get a similar question You can retry this quetior selcý Use Newton's method to approximate a root of the equation 3x" + 4x* + 3 = 0 as follows. Let ¤i = 1 be the initial approximation. The second approximation x2 is 0.729 and the third approximation 23 is 0.252 (Although these are approximations of the root, enter exact expressions for each approximation.) Question Help: D Video M Message instructor Submit Question Jump to Answer LAX-SEA SPF a 12PM 1PM 42 UG EA 2PM 43 SEA-EUG ME TIMVINCIBLE
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