Complex numbers

This Article gives the answer to the following questions: Why complex numbers are introduced in mathematics? Various definition of complex number. Operations on the complex number. Application of complex number. As there are many equations in mathematics whose solutions are not lie in real numbers line. For example, we consider the following equation such as X^2+1=0, X^2+4=0 and so on, these equations have no solution on the real number line. The definition of the real number is the square of any number x is always non- negative to remove this problem mathematician thought about the complex number i.e., under root -1 is `i`