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

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

The smallest integral value of a for which the equation x^(3)-x^(2)+ax-a=0 have exactly one real root,is

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

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

Find the values of 'm' for which the equation x^4-(m-3)x^2+m =0 has Four real roots

Find the least integral value of k for which the equation x^(2)-2(k+2)x+12+k^(2)=0 has two different real roots.

Find the least integral value of k for which the equation x^(2)-2(k+2)x+12+k^(2)=0 has two different real roots.

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

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: