Every Pole has a Pole Every Zero has a Zero Why are their co

Every Pole has a (Pole)*. Every Zero has a (Zero)*. Why are their complex conjugate pairs in real world applications?

Solution

Every complex pole and zero have their complex conjugate.

Complex poles and zeroes always lies in pair because these are the roots that we get on solving the quadratic equation and as we know that quadratic equation can have two real roots or one real root or complex roots which are complex conjugates, there is no possibility of one real and one complex roots.

So we can say that complex poles and zeroes always lies in pair in the real world applications.