Find the values of `a` for which the equation `(x^2+4x+7)^2-(a-2)(x^2+4x+6)+(a-3)(x^2+4x+6)^2=0` has atleast one real root

The values of 'a' for which the equation (x^(2)+x+2)^(2)-(a-3)(x^(2)+x+2)(x^(2)+x+1)+(a-4)(x^(2)+x+1)^(2)= has atlesast one real root is:

Find the number of integral value(s) of a for which the equation (x^(4)+4x^(2)+4)-(a+4)(x^(4)+6x^(2)+8)-(a+5)(x^(4)+8x^(2)+16)=0 has atleast one real solution

Find the values of 'm' for which the equation x^4-(m-3)x^2+m =0 has No real roots

Find the integral values of a for which the equation x^(4)-(a^(2)-5a+6)x^(2)-(a^(2)-3a+2)=0 has only real roots

Find the integral values of a for which the equation x^4-(a^2-5a+6)x^2-(a^2-3a+2)=0 has only real roots

Find the values of k for which the equation x^2-4x+k=0 has distinct real roots.

The set of values of a for which x^2+ax+sin^(-1)(x^2-4x+5)+cos^(-1)(x^2-4x+5)=0 has at least one real root is given by

Find the values of k for which the equation x^(2)-4x+k=0 has distinct real roots.

Find the values of a for which all the roots of the equation x^4-4x^3-8x^2+a=0 are real.

Find the values of k for which the given equation has real roots: k x^2-6x-2=0