SOLUTION: Find the complex solutions to the quadratic equation x^2+6x+10=0

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Question 87495: Find the complex solutions to the quadratic equation
x^2+6x+10=0

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Find the complex solutions to the quadratic equation
x^2+6x+10=0


         x² + 6x + 10 = 0

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

where a = 1; b = 6; c = 10

                     _____________
             -(6) ± Ö(6)²-4(1)(10)
        x = ————————————————————————
                     2(1) 
                   _____ 
             -6 ± Ö36-40
        x = —————————————
                  2

                   __ 
             -6 ± Ö-4
        x = ———————————
                 2 

                   ____ 
             -6 ± Ö-1·4
        x = ————————————
                 2 

                    _ 
             -6 ± iÖ4
        x = ———————————
                 2 

                      
             -6     2i
        x = ———— ± ————
              2      2
                  
        x = -3 ± i 
                       
Using the +, x = -3 + i 
Using the -, x = -3 - i

Edwin