Find all the roots of the given function. Use preliminary analysis and graphing to find good initial approximations. f0x) = 4 In x-x+8x-2 The function has root(s) at x (Round to six decimal places as needed. Use a comma to separate answers as needed.)
Find all the roots of the given function. Use preliminary analysis and graphing to find good initial approximations. f0x) = 4 In x-x+8x-2 The function has root(s) at x (Round to six decimal places as needed. Use a comma to separate answers as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Finding the Roots of the Function**
To determine the roots of the following function, apply preliminary analysis and graphical methods to obtain accurate initial approximations.
\[ f(x) = 4 \ln x - x^2 + 8x - 2 \]
**Roots Calculation**
The function has root(s) at \( x \approx \)
\[ \_\_\_\_\_\_\_\_\_ \]
(Round to six decimal places as needed. Use a comma to separate answers as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb02fb262-35a8-4c2d-87d7-48cdf0e8c8b9%2Fdf050edf-2870-4698-8756-3d1d7e54a83c%2Fvl46xwi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Finding the Roots of the Function**
To determine the roots of the following function, apply preliminary analysis and graphical methods to obtain accurate initial approximations.
\[ f(x) = 4 \ln x - x^2 + 8x - 2 \]
**Roots Calculation**
The function has root(s) at \( x \approx \)
\[ \_\_\_\_\_\_\_\_\_ \]
(Round to six decimal places as needed. Use a comma to separate answers as needed.)
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