Published by:
CGP EDU Academic Team
Published on: August 12, 2026
How many roots does the following equation possess? 
Text Solution
Verified by ExpertsThe correct answer is:
2
(2)
We have,


In order to determine the number of roots of (i), it is sufficient to find the points of intersection of the curves
and
. Graphs of these two curves are shown in

We observe that the two curves intersect at two points
and
. Hence, the equation (i) has two real solutions. Also, the solutions belong to the interval
.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
If denotes the greatest integer less than or equal to , then the solutions of the equation are
If is defined for all real , then the value of can be
If , where the greatest integer less than or equal to , then must be such that
The solution of the equation , is
If , then is equal to
The number of solutions of the equation , is