Question

Find a real root of the equation X cube minus 4 x minus 9 equal to zero using bisection method in your forest stages

Answer 1

Step-by-step explanation:

First Let x0 be 1 and x1 be 3

F(x0) = x3 – 4x -9

=1– 4– 9

= -12 < 0

F(x1) =27 – 12 – 9

=6> 0

Therefore, the root lies between 1 and 3

Now we try with x2 =2

F(x2) = 8 – 8 – 9

= -9 < 0

Therefore, the root lies between 2 and 3

X3

= (x1+x2)/2

=(3+2)/2

= 2.5

F(x3) = 15.625 – 10 – 9

= - 3.375 < 0

Therefore, the root lies between 2.5 and 3

X4

= (x1+x3)/2

= 2.75