The sum of all integral values of 'a' for which the equation `2x ^(2) -(1+2a) x+1 +a=0` has a integral root.

The number of integral values of 'a' for which the quadratic equation x^(2)+(a+19)x+19a+1=0 has integral roots,are

Number of integral values of a for which the equation x^(2)-(a+1)x+a-1=0, has integral roots,is equal to -

The number of integral values of b, for which the equation x^(2) + bx - 16 = 0 has integral roots is

Number of integral values of a for which the equation x^2-(a+1)x+a-1=0 , has integral roots, is equal to -

Find all the integral values of a for which the quadratic equation (x - a) (x - 10) + 1 = 0 has integral roots.

The number of integral values of b, for which the equation x^(2)+bx-16=0 has integral roots, is

The number of integral values of a for which the quadratic equation (x+a)(x+1991)+1=0 has integral roots are a. 3 b. 0 c. 1 d. 2

The number of integral values of a for which the quadratic equation (x+a)(x+1991)+1=0 has integral roots are a. 3 b. 0 c. 1 d. 2