Use Bisection method to find a real root of x2 -2 in the interval [1,2]. What should be xg Xn Xn Xn+1 1.00000 2.00000 1.50000

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 38E
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Use Bisection method to find a real root of x2 - 2 in the interval [1,2]. What should be xg
Xn+1
1.00000
2.00000
1.50000
1
1.00000
1.50000
1.25000
1.25000
1.50000
1.37500
3
1.37500
1.50000
1.43750
4
1.37500
1.43750
1.40625
1.40625
1.43750
1.42187
O 1.40625
O 1.41406
O 1.43750
1.42187
5.
Transcribed Image Text:Use Bisection method to find a real root of x2 - 2 in the interval [1,2]. What should be xg Xn+1 1.00000 2.00000 1.50000 1 1.00000 1.50000 1.25000 1.25000 1.50000 1.37500 3 1.37500 1.50000 1.43750 4 1.37500 1.43750 1.40625 1.40625 1.43750 1.42187 O 1.40625 O 1.41406 O 1.43750 1.42187 5.
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