Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
are two real roots of equation 
. If the quadratic equation 
has two roots 
such that sum of its roots is equal to product of roots, then then number of integral values 
can attain is :
Text Solution
Verified by ExpertsThe correct answer is:
3
(3)
Number of integral values 
can attain e
Sum of roots of 
.
Product of roots of 
Setting Sum = Product:
For 
to be real, discriminant 
.
.
. Integers are 
.
Count: there are 
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