Imaginary Unit

                    Lesson 1

                                                                                            

                                                            The imaginary unit is defined as:

 

                                                                         i=√-1

 

                                                            An imaginary number occurs when a quadratic equation has no roots in the set of real numbers.

                                                           

                                                            Problem:                   Solve for x:   x2= -36

                                                            Solution                    x2=-36

Step 1:  

                     

                                                                                Solution                          √x2=√-36

Step 2:                        

 

                                                                                Solution                           x=+√36i; x= +6i

Step 3:           

             

                                                            Solution                    The answer is:  +6i

 Step 3:                                                                      

 Complete                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

Evaluate the following;

 

A.

x2=-169

B.

x2+49=0

 

 

        

 

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