In this chapter we shall cover advanced topics under complex numbers.

## Quadratic Equations

An equation of the form ax^2 + bx +c = 0 (a being nonzero) in which 2 is the highest power of x and a,b,c are any three numbers free from x is called an equation of second degree or a quadratic equation in x.

## Complex Numbers

Real numbers are not sufficient for solving all algebraic problems. Hence, a new set of numbers which are different from real numbers were invented and termed as complex numbers or imaginary numbers.