Complex Numbers

The real number system cannot represent the square root of a negative number, which restricts solutions for certain equations, such as quadratics with negative discriminants. To address this, the complex number system was developed, introducing the imaginary unit i, where i = √(-1). This extension allows for the representation of a...

Some equations have no real solution because they involve the square roots of negative numbers.

To address this, complex numbers are introduced, defining the square root of −1 as the imaginary unit i.

This can be visualized on the complex plane, where the real and imaginary parts form perpendicular axes, placing each complex n...