Question

. Find the root of xe-x -0.3 + 0 using
Bisection Method in the interval (1,5).
Answer
A. 1.68
B. 1.86
c. 1.88
D. D 1.66​

Answer 1

Answer:

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Option b is the answer

Answer 2

Answer:

1.7890625

closer value= B. 1.86

Given:

xe - x - 0.3 + 0

To find:

Root of xe-x -0.3 + 0 using

Bisection Method in the interval (1,5)

Solution:

Iteration table:

No a b c f(a) × f(c)

1 1.0 5.0 3.0 (-)

2 1.0 3.0 2.0 (-)

3 1.0 2.0 1.5 (+)

4 1.5 2.0 1.75 (+)

5 1.75 2.0 1.875 (-)

6 1.75 1.875 1.8125 (-)

7 1.75 1.8125 1.78125 (+)

8 1.78125 1.8125 1.796875 (-)

9 1.78125 1.796875 1.7890625 (-)

After 9 iterations the distance between the last 2 values is less than 0.01, thus the approximated value of x is 1.7890625.

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