Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Number of solutions of the equation 
, where 
denotes the greatest integer function, is
Text Solution
Verified by ExpertsThe correct answer is:
2
(2)
We have, 
So, we have the following cases.
CASE I - When 
In this case, we have
is the solution in this case.
CASE II - When 
In this case, we have
But, 
and 
.
is the solution in this case.
CASE III - When 
In this case, we have
But, 
and 
. Therefore, there is no solution in this case.
Hence, the given equation has two solutions only, namely, 
and 
.
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