If roots of the equation |
|||
a) |
All |
b) |
All |
c) |
|
d) |
None of the above |
If roots of the equation |
|||
a) |
All |
b) |
All |
c) |
|
d) |
None of the above |
(b)
For rational roots must be a perfect square of a rational number and as
are natural numbers
must be a perfect square of an integer.
are both odd integers or both even integers but
is an odd integer. So,
and
must be even integers.
is odd
must be odd. Now, let
,
odd integer)
odd integer)
is an even integer)
So, contradiction is not a perfect square. So, all
cannot be odd integers.