[" The real value of 'a' for which "],[x^(2)+i(a-1)x+5=0" will have a pair of "],[" conjugate complex roots is "]

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

Find the real values of x and y for which z_(1)=9y^(2)-4-10ix and z_(2)=8y^(2)-20i are conjugate complex of each other.

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

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

The set of values of k(k in R) for which the equation x^(2)-4|x|+3-|k-1|=0 will have exactly four real roots,is

Find the values of k for which (2k+1)x^(2)+2(k+3)x+(k+5)=0 has real and equal 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

The set of value of k (k in R) for which the equation x ^(2) -4 |x|+3 -|k-1|=0 will have exactly four real roots, is:

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

The real values of x and y for which the complex numbers 9y^(2)-4- 10 x i and 8y^(2) +20i^(7) are conjugate to each other are-