Question

Which equation has imaginary roots?

Answer 1

For quadratic equations,

Imaginary roots always occur in conjugate pairs.

Let us take an example $p{x}^2+qx+r=0$

For the quadratic equation, we get imaginary roots if the discriminant value is negative.

i.e., $q^2-4pr<0$, where $q^2-4pr$ is a discriminant of the quadratic equation.

Hence, Quadratic equation has imaginary root when discriminant is less than zero.