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                 …

Distributive laws  Left Distributive Law  Right Distributive Law

Properties of complex Numbers If     be the three complex numbers then                                             Associative law of multiplication      Multiplicative identity.. Commutative law of multiplication For each non-zero 

Definition( Complex Number) A complex number is an element (x, y) of the set  = {  } obeying the following rules of addition and multiplication If   then 1.      2.      as   Z= 3+4i