SOLUTION: <pre> Divide: 5 + 3i ------- 6 - 2i</pre>

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Question 528100: 
Divide:    5 + 3i
           -------
           6 - 2i
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Divide:    5 + 3i
           -------
           6 - 2i


           5 + 3i   6 + 2i
           ------ × ------
           6 - 2i   6 + 2i


          (5 + 3i)(6 + 2i)
          ----------------
          (6 - 2i)(6 + 2i)


        30 + 10i + 18i + 6i²
        --------------------
        36 + 12i - 12i - 4i²


          30 + 28i + 6i² 
          --------------
             36 - 4i²


 
         30 + 28i + 6(-1) 
         ----------------
            36 - 4(-1)


          30 + 28i - 6 
          ------------
             36 + 4


            24 + 28i
            --------
               40

            24   28i 
            -- + ---
            40   40

          
             + i

Edwin
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