The number of integral values of , which the equation has integral roots, is
Explanation for the correct option:
Find the number of integral values of .
An equation is given.
Find the roots of the given equation as follows:
Since, is an integer, which is possible only when is even.
We know that, only the sum and subtraction of the even numbers is an even number.
Which implies that, and are even number.
Also, is an integer.
Therefore, the values of which satisfy all the conditions is .
Thus, the number of integral values of is .
Hence, option is the correct answer.