Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Number of possible value(s) of integer ' 
' for which the quadratic equation 
has integral roots, is
Text Solution
Verified by ExpertsThe correct answer is:
6
(6)
For integral roots discriminant should be a perfect square.
, where 
.
Since 1 and 64 as factors is not possible.
The other possible factors are listed below:
2 | -2 | 4 | -4 | 8 | -8 | |
32 | -32 | 16 | -16 | 8 | -8 | |
17 | -17 | 10 | -10 | 8 | -8 |
Hence, 
can take 6 integral values.
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