The complete set of possible real values of à for which the equation `x^2-(lambda^2+1)x-4lambda^2=0` has roots whose simm and product both are greater than `-1`, is

The complete set of possible real values of à for which the equation x^(2)-(lambda^(2)+1)x-4 lambda^(2)=0 has roots whose simm and product both are greater than -1 is

The set of possible values of lambda for which x^2-(lambda^2-5 lambda+5)x+(2 lambda^2-3lambda-4)=0 has roots whose sum and product are both less than 1 is

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

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 set of possible values of lambda for which x^(2)-(lambda^(2)-5 lambda+5)x+(2 lambda^(2)-3 lambda-4)=0 has roots whose sum and product are both less than 1 is

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?

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

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