Wetzel                                                                                                            

Math 102

9.6 – The Complex Numbers

 

 

Review:

                         = no Real Number solution

 

            There is a solution, just not a real-numbered solution.

            The solution is a complex number or imaginary number.

            The general form of a complex number is a + b i

 

Complex Numbers:

           

            i =

 

          i = -1

 

          i = -

 

          i = 1

 

          i =

 

          i = -1         ……

 

Example:  Simplify.

 

1.)  i                         2.)  i                         3.)                    4.)                   5.)   

 

 

 

 

 

6.)                    7.)                               8.) 

 

 

 

 

9.)                                     10.)                    

 

 

 

 

 

Rationalize the denominator.

 

11.)                                                   12.)