" The smallest possible natural number "n," for which the equation "x^(2)-nx+2014=0" has integral roots,is "

What is the smallest possible natural number 'n' for which the equation x^(2)-nx + 2014=0 has integer 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 b, for which the equation x^(2) + bx - 16 = 0 has integral roots is

The smallest integral value of a for which the equation x^(3)-x^(2)+ax-a=0 have exactly one real root,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 -

Let a b be arbitary real numbers Find the smallest natural number b for which equation x^(2)+2(a+b)x+(a-b+8)=0 has unequal real roots for all a in R .

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