CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Consider x2eln3+x+2eln3=12. Then which of the following statement(s) is(are) CORRECT ?

A
The number of integral solutions of the equation is 7.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
The number of integral solutions of the equation is 13.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
The sum of all the integral solutions of the equation is 0.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
The sum of all the integral solutions of the equation is 28.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C The sum of all the integral solutions of the equation is 0.
|x2eln3|+|x+2eln3|=12
|x6|+|x+6|=12

Case1:x<6
x+6x6=12
x=6 ( rejected )

Case2:6x6
x+6+x+6=12
12=12
x[6,6]

Case3:x>6
x6+x+6=12
x=6 ( rejected )
x[6,6]

Number of integral solutions is 13,{6,5,...,5,6} and sum of these integral solutions is zero.

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Beyond Binomials
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon