The set of values of '
' for which one negative and two positive roots of the equation
are possible, is
Text Solution
Verified by ExpertsA
Let
and
Clearly, roots of the given equation are the absaissae of the points of intersection of the curves
and
.
The graphs of
and
are shown in Fig.

Clearly, the given equation will have two positive roots and one negative root, if
intersects with
at two points on the right side of
-axis and one point on the left side of
-axis. This is possible only when

──────────────────────────────────────────────────────────────────────────────────────────
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