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

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

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

The complete set of values of a for which the roots of the equatin x ^(2) -2 |a+1| x|1 =0 are real is given by :

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?

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: