[" Number of integral values of 'a' for which "],[(a-5)x^(2)-2ax+(a-4)=0," has "],[" exactly one root in "(0,2)," is "]

Find the number of integral values of 'a' for which ax^(2)-(3a+2)x+2(a+1)<0,a!=0 holds exactly four integral value of x.

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

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

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 sum of all possible integral value of 'k' for which 5x ^(2) -2k x +1lt 0 has exactly one integral solution :

Find the number of integral values of 'a' for which ax^2 - (3a + 2)x + 2(a + 1) < 0, a != 0 holds exactly four integral value of x.

Number of integral values of a for which the equation cos^(2)x-sin x+a=0 has roots when x in(0,(pi)/(2)) is

The number of integral values of a for which x^(2) - (a-1) x+3 = 0 has both roots positive and x^(2) + 3x + 6 - a = 0 has both roots negative is