Use Newton's method to approximate a root of the equation 3x7 + 7x¹+3=0 as follows. Let x₁ = 3 be the initial approximation. The second approximation 2 is and the third approximation 3 is (Although these are approximations of the root, enter exact expressions for each approximation.)
Use Newton's method to approximate a root of the equation 3x7 + 7x¹+3=0 as follows. Let x₁ = 3 be the initial approximation. The second approximation 2 is and the third approximation 3 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
Section2.3: Quadratic Equations
Problem 18E
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![Use Newton's method to approximate a root of the equation 3x7 + 7x4 +3=0 as follows.
Let ₁ = 3 be the initial approximation.
The second approximation 2 is
and the third approximation 3 is
(Although these are approximations of the root, enter exact expressions for each approximation.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39eedabc-a5ba-4d6f-aea8-53492a95fc23%2F65bf0646-4350-4b34-ad4d-2e62375c02b0%2Frm4bicu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use Newton's method to approximate a root of the equation 3x7 + 7x4 +3=0 as follows.
Let ₁ = 3 be the initial approximation.
The second approximation 2 is
and the third approximation 3 is
(Although these are approximations of the root, enter exact expressions for each approximation.)
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