Find the value of a which makes the expression `x^2-ax+1-2a^2` always positive for real values of x.

The values of a which make the expression x^2-ax +1-2a^2 always positive for real values of x are- A. -2/3 lt a lt 2/3 B. -2/3 le a le 2/3 C. -2/3 le a le 1 D. 0 lt a lt 2/3

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

IF x is real , find the real values of a which make x^2-ax+1-2a^2 always positive.

If the expression x^(2)-(m+2)x+4 is always positive for all real values of x, then find range of m

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

Which of the following statemens are true regarding the expression f(x)=x^(2)-6x+11 ? I. The expression has a least value of 11 II. The value of the expression is always positive for any value of x III. The roots of f(x) =0 are real

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

If x and a are real, then the value of a for which the expression x^(2)-(3a)/(2)x+1-a^(2) is positive, is

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

IF x is real, find the real values of m which make the expressions mx-x^2-1 always negative.