Find the values of a for which the expression `(ax^2+3x-4)/(3x-4x^2+a)` assumes all real values for all real values of x

Number of integral values of 'a for which the expression (x^(2)-ax+11)/(x^(2)-5x+4) can assume all real values is

If (x^(2)+ax+3)/(x^(2)+x+a) , takes all real values for possible real values of x, then

Find all the values of p for which the equation x^(4)-4x^(3)-8x^(2)+p=0 has all real solutions

The possible greates integral value of a for which the expression (ax^(2)+3x+4)/(x^(2)+2x+2) is less than 5 for all real x is ______

The possible greates integral value of a for which the expression (ax^(2)+3x+4)/(x^(2)+2x+2) is less than 5 for all real x is ______

Find the values of a for which all the roots of the euation x^4-4x^3-8x^2+a=0 are real.

Find the values of a for which all the roots of the euation x^4-4x^3-8x^2+a=0 are real.