Use Bisection method to find a real root of x² - 2 in the interval [1,2]. What is the approximated value of x7? n Xn Xn+ Xn+1 0 1.00000 2.00000 1.50000 1 1.00000 1.50000 1.25000 2 1.25000 1.50000 1.37500 3 1.37500 1.50000 1.43750 4 1.37500 1.43750 1.40625
Use Bisection method to find a real root of x² - 2 in the interval [1,2]. What is the approximated value of x7? n Xn Xn+ Xn+1 0 1.00000 2.00000 1.50000 1 1.00000 1.50000 1.25000 2 1.25000 1.50000 1.37500 3 1.37500 1.50000 1.43750 4 1.37500 1.43750 1.40625
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![Use Bisection method to find a real root of x² - 2 in the interval [1,2]. What is the approximated value of x7?
n
Xn
Xn
Xn+1
1.00000
2.00000
1.50000
1.00000
1.50000
1.25000
1.25000
1.50000
1.37500
1.37500
1.50000
1.43750
1.37500
1.43750
1.40625
1.40625
1.43750
1.42187
0
1
2
3
4
5
O 1.42187
O 1.40625
O 1.40625
O 1.41406](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7cf7af6-e23d-4f55-a2ce-f856958e4657%2F9d86d2e2-29ac-4456-a641-0bb9eb91612e%2Ffqi4sk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use Bisection method to find a real root of x² - 2 in the interval [1,2]. What is the approximated value of x7?
n
Xn
Xn
Xn+1
1.00000
2.00000
1.50000
1.00000
1.50000
1.25000
1.25000
1.50000
1.37500
1.37500
1.50000
1.43750
1.37500
1.43750
1.40625
1.40625
1.43750
1.42187
0
1
2
3
4
5
O 1.42187
O 1.40625
O 1.40625
O 1.41406
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