5x² - 6x + 2 = 0

Use the quadratic formula:
                  ______ 
            -b ± Öb²-4ac
        x = —————————————
                2a 

where a = 5; b = -6; c = 2

                      _____________
             -(-6) ± Ö(-6)²-4(5)(2)
        x = ————————————————————————
                     2(5) 
                  _____ 
             6 ± Ö36-40
        x = —————————————
                  10

                  __ 
             6 ± Ö-4
        x = ———————————
                 10 

                   _ 
             6 ± iÖ4
        x = —————————
                10 

                    
             6 ± 2i
        x = —————————
              10 

                     
              6     2i
        x = ———— ± ————
             10     10
                  
             3     i
        x = ——— ± ———
             5     5

OR in the form A + Bi:

             3     1
        x = ——— ± ——— i
             5     5 

Edwin