For what real values of a, will the expression `x^(2)-ax+1-2a^(2)`, for the real x, be always positive ?

For all real values of x, the maximum value of the expression 3-5x-2x^(2) is

Determine the value of 'a' so that the expression x^(2)-2(a+1)x+4, x in R is always positive.

For real values of x, the value of expression (11x^2-12x-6)/(x^2+4x+2)

Find what values of a so that the expression x^(2)-(a+2)x+4 is always positive.

For all real values of x, the minimum value of the quadratic expression x^(2)-3x+3 is

For what values of a is the inequality (x^(2) +ax-2)/( x^(2) -x+1) lt 2 satisfied for all real values of x?

If x is real, then the minimum value of the expression x^2-8x+17 is

If x is real, then the minimum value of the expression x^2-8x+17 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 ______

The real value of alpha for which the expression (1-isinalpha)/(1+2isinalpha) is purely real is