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Find the real roots of the following functions f(x) = 0.7x58x4 +44x³ 90x² +82x - 25 a) By a graphic b) Using the false position method to locate the largest root. Use initial values x₁=0.5 and Xu=1 Iterating Until the estimated error & -0.2%

Find the real roots of the following functions f(x) = 0.7x58x4 +44x³ 90x² +82x - 25 a) By a graphic b) Using the false position method to locate the largest root. Use initial values x₁=0.5 and Xu=1 Iterating Until the estimated error & -0.2%

Advanced Engineering Mathematics
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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Numerical methods

Find the real roots of the following functions f(x) = 0.7x58x4 +44x³ 90x² +82x - 25 a) By a graphic b) Using the false position method to locate the largest root. Use initial values x₁=0.5 and Xu-1 Iterating Until the estimated error & -0.2%
Transcribed Image Text:Find the real roots of the following functions f(x) = 0.7x58x4 +44x³ 90x² +82x - 25 a) By a graphic b) Using the false position method to locate the largest root. Use initial values x₁=0.5 and Xu-1 Iterating Until the estimated error & -0.2%
Expert Solution
Step 1: Given.

Given: A function f(x)=0.7x5-8x4+44x3-90x2+82x-25,

To find: Root of a given function by,

a) a graphical method

b) Using the False position method to locate the largest root. Use initial values xi=0.5 and xu=1 iterating until estimated error εs=0.2%

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