The value of 'a' for which the quadratic expression `ax^(2)+|2a-3|x-6` is positive for exactly two integral values of x is

The number of integral values of alpha for which the quadratic expression alpha x^(2)+|2 alpha-3|x-6 is positive for exactly two integral values of x is equal to

The values of 'a' for which the quadraic expression ax^(2)+(a-2)x-2 is negative for exactly two integral values of x , belongs to

All the values of ' a ' for which the quadratic expression a x^2+(a-2)x-2 is negative for exactly two integral values of x may lie in [1,3/2] (b) [3/2,2) [1,2) (d) [-1,2)

The quadratic expression x^(2)-x+1 is positive for x

The expression (a-2)x^(2)+2(2a-3)x+(5a-6) is positive for all real value of x, then

The maximum value of the quadratic expression 12x-x^(2)-32 is

If set of values a for which f(x)=ax^(2)-(3+2a)x+6a!=0 is positive for exactly three distinct negative integral values of x is (c,d], then the value of (c^(2)+4|d|) is equal to

There is only one real value of a for which the quadratic equation ax^(2)+(a+3)x+a-3=0 has two positive integral solutions.The product of these two solutions is

The values of a for which the expression x^(2)-(3a-1)x+2a^(2)+2a-11 is always positive are given by: