Set of all value of 'a for which the equation `(a + 1)x^2 +2bax + (a+1)b=0` has real and distinct roots for all b in R is

Find the value of K for which the quadratic equation kx^(2)+2x+1=0, has real and distinct root.

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

Show that the equation x^2+a x-4=0 has real and distinct roots for all real values of a .

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?

Show that the equation x^(2)+ax-4=0 has real and distinct roots for all real values of a .

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 set of all positive real values of k, for which the equation x^(3) - 9x^(2) + 24x - k = 0 has three distinct real roots, is the interval :

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