# Need Of Complex Numbers

##### Some quadratic equations which have no solutions in real numbers.

##### For Example

##### 1.

##### 2.

##### 3.

##### In order to find the solutions of above given or similar quadratic equations, the symbol ” i ” was used. Euler was the first person to introduce the symbol ” i “. where

##### Gauss ( 1777-1855) was a German Mathematician and was a first person to prove in satisfactory manner that there are some algebraic equations which have real coefficients have complex roots in the form of .

##### Note: complex and irrational roots always occur in pairs.