Question

Use bisection method to find out the root of x-sinx-0.5=0 between 1 and 2.​

Answer 1

Answer:

hey your answer for this question is 1.497....

hope it helps you:)

Answer 2

Given:

x - sin x - 0.5 = 0.

To Find:

To find the roots of the equation between 1 and 2 using the bisection method.

Solution:

The iteration table is given below:

No.        a         b            c               f(a)×f(b)

1         1         2         1.5             -8.554*10⁻⁴ (-)

2         1        1.5          1.25       0.068 (+)

3       1.25       1.5         1.375       0.021 (+)

4       1.375        1.5         1.437       5.679*10⁻³ (+)

5       1.437        1.5         1.469       1.42*10⁻³ (+)

6       1.469       1.5         1.485       3.042*10⁻⁴ (+)

7       1.485       1.5         1.493       5.023*10⁻⁵ (+)

8       1.493 1.5 1.497 2.947*10⁻⁶ (+)

Since the difference between b and c is less than 0.01 we stop the iterations.

Hence, one of the roots of x - sin x – 0.5 = 0 is approximately 1.497.