Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The number of negative integral values of 
for which the expression 
is positive 
is:
Text Solution
Verified by ExpertsThe correct answer is:
0
(0)
To have 
for all :
Case 1: No Real Roots. The discriminant 
implies 
, which simplifies to 
, or 
. There are no negative integers in this range.
Case 2: Real Roots . For roots to exist (
or
) but be less than or equal to 1 , we need the vertex 
(so 
) and 
. Since 
must be negative, this case yields no solutions.
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