Question

The sum of real values of x for which the

middle term in the expansion of ((x^3/3)+(3/x) ^8
equals 5670 is

​

Answer 1

Answer:

the sum of real values of x for middle from term in the expansion of ((x^3/3)+(3/x) ^8equal 5670 is to be ----

Answer 2

Answer:

ANSWER

Given (3x3+x3)8

General term  =Tr+1=8Cr(3x3)8−r(x3)r

Since n is even then the middle term is  when r=2n 

Here,2n=28=4

T5=8C481x12×x481=5670

⇒70x8=5670

⇒x=±3

Hence, The sum of the real values of x are 0