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

If x is real, find the real values of p which make 4x^2+px+1 always positive.

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

If x is real, find the values of k for which abs(x^2+kx+1)/abs(x^2+x+1)lt3

If x be real , find the greatest value of (x+2)/(2x^2+3x+6) .

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

IF x is real , find the maximum and minimum values of (x^2-x+1)/(x^2+x+1) also find the corresponding values of x.

IF x be real, then the maximum value of 5+4x-4x^2 will be-

IF x is real, find the least value of 2x^2-3x+5 and the value of x for which the expression is minimum.

IF x is real , find the greatest and the least value of : (x^2-2x+2)/(x^2+3x+9)

If x is real number, then the minimum value of x^2+x+1 is