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

Find the values of x for which the expression x^(2)-(log_(5)2+log_(2)5)x+1 is always positive

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

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

(i) Find the values of 'a' for which the expression x^(2)-(3a-1)x+2a^(2)+2a-11 is always positive (ii) If x^(2)+4ax+2 gt0 for all values of x, then a lies in the interval. (a) (-2,4) (b) (1,2) (c) (-sqrt(2),sqrt(2)) (d) (-(1)/(sqrt(2)),(1)/(sqrt(2))) (e) (-4,2).

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

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

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

Largest integral value of 'a' for which the expression y=x^(2)+ax+(a-3) is non positive x in[0,1] is

factorize the given expression 2x^2+11x-21

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