Use Newton's method to approximate a root of the equation 3x² + 7x² + 2 = 0 as follows. 1 Let x₁ = 3 be the initial approximation. The second approximation 2 is and the third approximation 3 is Carry at least 4 decimal places through your calculations.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 22E
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Use Newton's method to approximate a root of the equation
3x² + 7x¹ + 2
0 as follows.
=
Let x1 =
3 be the initial approximation.
The second approximation 2 is
and the third approximation 3 is
Carry at least 4 decimal places through your calculations.
Transcribed Image Text:Use Newton's method to approximate a root of the equation 3x² + 7x¹ + 2 0 as follows. = Let x1 = 3 be the initial approximation. The second approximation 2 is and the third approximation 3 is Carry at least 4 decimal places through your calculations.
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