wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The sum of the real values of x for which the middle term in the binomial expansion of (x33+3x)8 equals 5670 is:

A
6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 0
Given (x33+3x)8

General term =Tr+1=8Cr(x33)8r(3x)r

Since n is even then the middle term is when r=n2

Here,n2=82=4

T5=8C4x1281×81x4=5670

70x8=5670

x=±3

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

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Visualising the Terms
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon