Home
Class 12
MATHS
The sum of the real values of x for wh...

The sum of the real values of x for which the middle term in the binomial expansion of `(x^3/3 + 3/x)^8` equals 5670 is :

A

8

B

0

C

4

D

6

Text Solution

Verified by Experts

The correct Answer is:
B
For n=8
Middle terms =`(8/2+1)^(th)` term =`T_5=.^8C_4 (x^3/3)^4 (3/x)^4=.^8C_4 x^8`
Given that `.^8C_4 x^8` =5670 …(i)
`rArr` Sum of real roots of equation `(x^8- 5670/(.^8C_4))=0`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the middle term in the expansion of (3x-(x^3)/6)^9

Find the middle term in the expansion of (2x + 3/x)^20

Find the middle terms in the expansions of (3-x^3/6)^7

Find the middle terms in the expansions of (x/3+9y)^10

Find the middle term in the expansion of (3- x^3/6)^7

Find the middle term in the expansion of ((2x)/3- 3/(2x))^6

Find the middle term in the expansion of (3-(x^(3))/(6))^(7)

Find the middle term in the expansion of (3-(x^(3))/(6))^(7)