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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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%

Expert Solution

Step 1: Given.

Given: A function $f (x) = 0.7 x^{5} - 8 x^{4} + 44 x^{3} - 90 x^{2} + 82 x - 25$ ,

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 $x_{i} = 0.5$ and $x_{u} = 1$ iterating until estimated error $ε_{s} = 0.2 %$

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