The negative root of the smallest magnitude of the equation f(x)=3x³+10x²+10x+7 = 0 is to be obtained. (i) Find an interval of unit length which contains this root. (ii) Perform two iterations of the Bisection method.
The negative root of the smallest magnitude of the equation f(x)=3x³+10x²+10x+7 = 0 is to be obtained. (i) Find an interval of unit length which contains this root. (ii) Perform two iterations of the Bisection method.
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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The negative root of the smallest magnitude of the equation f(x)=3x³+10x²+10x+7 = 0 is to be obtained.
(i) Find an interval of unit length which contains this root.
(ii) Perform two iterations of the Bisection method.
Transcribed Image Text:6.
The negative root of the smallest magnitude of the equation f(x) = 3x³ + 10x² + 10x + 7 = 0 is to be
obtained.
(i) Find an interval of unit length which contains this root.
(ii) Perform two iterations of the Bisection method.
Answer Key:
6.
(i) (-3,-2)
(ii) Root lies in the interval (– 2.5, – 2.25)
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