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

The complete set of real values of 'a' for which the equation 9^(x)-(4a)3^(x)+4-a^(2)=0 has a unique root is

The sets of the value of 'a' for which the equation x^(4)+4x^(3)+ax^(2)+4x+1=0+ has all its roots real given by (a_(1),a_(2))uu{a_(3)}. then |a_(3)+a_(2)| is

The set of real values of a for which the equation x^(2) = a(x+a) has its roots greater than a is

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

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

The least +ve integral value of 'a' for which the equation 3x^4 +4x^3-12x^2 +5a=0 has no real root is

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

The value of m for which the equation x^(2)-x+m^(2)=0 has no real roots is given as

the value(s) if k for which the equation 5kx^(2)-8x+2=0 has real roots

Write the set of values of k for which the quadratic equation has 2x^(2)+kx-8=0 has real roots.