Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The number of positive integral values of 
for which the equation given in the above questions has 4 distinct real root is:
Text Solution
Verified by ExpertsThe correct answer is:
7
(7)
Condition: Both roots of the quadratic in 
must be distinct and 
.
From the discriminant 
, we need 
(for positive 
).
Checking 
confirms they all yield two 
-roots 
, resulting in 4 
-roots.
Count: There are 7 such values.
──────────────────────────────────────────────────────────────────────────────────────────
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 the roots of are equal then
Let α α , β β be the roots of the equation , , then the roots of the equation are
Let a > 0, b > 0 & c > 0. Then both the roots of the equation ax 2 + bx + c = 0
Find the set of all real values of λ such that the root of the equation x 2 + 2(a + b + c)x + 3λ (a…
If for all , then belongs to the interval
If ' ' is real, then can take all real values if