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 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 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

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

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?

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