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What does the fundamental theorem of algebra state about the equation 

 

Hev123  Mar 4, 2018
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2x^2   + 8x  + 14   =  0        divide through by 2

 

x^2  + 4x  +  7   =  0        subtract 7 ffrom both sides

 

x^2  +  4x  =  -  7         complete the square on x

 

x^2  + 4x  + 4  =  - 7  + 4

 

(x + 2)^2  =  - 3       take the root of both sides

 

x + 2  =   ±√-3

 

x + 2  =  ±√3 i

 

x  =  -2  ±√3 i  ⇒  First answer

 

 

cool cool cool

CPhill  Mar 4, 2018

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