Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

Find the real root of f(x) = -25 + 82x – 90x² + 44x³ - 8x4 + 0.7x5 , using the method from bisection to determine the root to an approximate error of less than 10%. use the initial approximations xi = 0.5 and xf = 1.0. (Use 5 decimal places after the comma)

Interagӑo xi xf F(xi) F(xr) F(xi).F(xr) Ea xr 2 3 4
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Transcribed Image Text:Interagӑo xi xf F(xi) F(xr) F(xi).F(xr) Ea xr 2 3 4
Expert Solution
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Step 1

It is given that the function is fx=0.7x5-8x4+44x3-90x2+82x-25. We have to find the real

root of the function between the points a=0.5 and b=1.

We have to use the bisection method. This method is an iterative technique which finds the root

by repeatedly dividing the interval.

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