Let S denotes the set of real values of 'a' for which the roots of the equation `x^2-ax-a^2 = 0` exceeds 'a', then S equals to

If both roots of the equation x^2+x+a=0 exceeds 'a' then

Find the set of all values of a for which the roots of the equation x^2-2ax + a^2 + a-3=0 are less than 3,

Let S denote the set of all real values of a for which the roots of the equation x^(2) - 2ax + a^(2) - 1 = 0 lie between 5 and 10, then S equals

The values of 'a' for which the roots of the equation x^(2) + x + a = 0 are real and exceed 'a' are

The set of values of 'a' for which the roots of the equation (a-3)x^(2) - 2ax + 5a = 0 are positive, is

The roots of the equation x^(2)-2ax+8a-15=0 are equal, then a =

Write the set of values of ' a ' for which the equation x^2+a x-1=0 has real roots.

if both root of equation x^2-6ax+2-2a+9a^2 = 0 exceeds 3 . then show that a>11/9

Complete set of real values of 'a' for which the equation x^4-2ax^2+x+a^2 -a=0 has all its roots real

Is there any real value of ' a ' for which the equation x^2+2x+(a^2+1)=0 has real roots?