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avatar+895 

Solve the following quadratic equation by using the quadratic formula. (Use the imaginary number i and just simplify as far as possible.)

\(x^2+x+11=5x-8\)

 Nov 8, 2017
 #1
avatar+102422 
+2

x^2  + x  +  11  =  5x  - 8      rearrange as

 

x^2 - 4x +  19  = 0

 

 

x =   4  ±√  [   (-4)^2  - 4 (1) (19) ]

       _______________________

                    2(1)

 

x =    4 ±√  [   16  - 76 ]

       _______________

                    2

 

x =    4 ±√  [   - 60  ]

       ______________

                 2

 

x =    4 ± 2i√15 

       ______________

                 2

 

x =  2 ± i√15

 

 

cool cool cool

 Nov 8, 2017
 #2
avatar+895 
+2

Thanks!

AdamTaurus  Nov 8, 2017

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