Complex Numbers


   
 
Introduction
Consider a simple quadratic equation x2 + 1 = 0. There is no real number which satisfies this equation. So there was a need to find a system which could answer to this problem. Euler used the symbol 'i' to denote to solve the above equation.
 
Complex number system consists of the set of all ordered pairs of real numbers (a, b) denoted by a + ib, where i = 
 
 
     
   
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