or
Rabin Kalikote 11 months ago
2 Claps
1 Comments
Surakshya Pandey

very fine!

Rabin Kalikote

Glad to hear, miss!

7mo
Arya Jha asked a question

Here, f(x)=x2 -6 logx-3=0

f(2)=4-6 log2-3=-0.806

f(3)=9-6 log3-3=3.1373

f(2).f(3)=-0.806*3.1373=-2.529422 which is negative.

Hence, the root lies between 2 and 3

c0 =(2+3)/2=2.5

f(2.5)=6.25-6 log 2.5-3=0.8623

Now

n
a(-ve)
b(+ve)
cn
f(cn)
0
2
3
2.5
0.8623
1
2
2.5
2.25
-0.050595
2
2.25
2.5
2.375
0.38664
3
2.25
2.375
2.3125
0.1631658
4
2.25
2.3125
2.28125
0.05506
5
2.25
2.28125
2.265625
0.001925

From the table,

f(2.265625)=0.001928<10-2

Therefore, the...

0 Thanks
2 Answers

Mattrab Community

Create, share and learn from the unlimited notes, photos and videos and ask your questions, answer your friends all over Nepal and grow. Create, share and learn.

Ask Mattrab is changing soon

We are excited for you to try new features. What are you excited about?

Close Open App