Imaginary or Non-Real Roots

What are Non-Real Roots?

Quadratic equations $ax^2 + bx + c = 0$ sometimes have solutions that cannot be found in ordinary numbers. These solutions are called "non-real roots" or "imaginary roots."

Imagine we're looking for a number that, when multiplied by itself, gives a negative result. Does such a number exist? No! Because any number multiplied by itself always gives a positive result or zero. This is where the concept of imaginary numbers begins.