Numerical methods in finding the roots of an equation use iteration processes that set an initial estimate and rely on the criteria of termination. The final answers therefore are approximations. However, they are important and useful for those problems that cannot be solved algebraically. There are five different methods of finding the root/s of an equation mentioned in this context, can you discuss each method?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 34E
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Numerical methods in finding the roots of an equation use iteration processes that set an
initial estimate and rely on the criteria of termination. The final answers therefore are
approximations. However, they are important and useful for those problems that cannot
be solved algebraically. There are five different methods of finding the root/s of an
equation mentioned in this context, can you discuss each method?

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