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Solve the equation complex z²+4*z+8=0

Web 2.0 Computer Science Complex Analysis
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Question added by Yamina Siahmed , SOUS DIRECTEUR , Lycee
Date Posted: 2015/06/15
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Mohammad Basheer abu ahmad
by Mohammad Basheer abu ahmad , مشرف كمبيوتر ، الإشراف على الموظفين , قطاع عام

Z² +4 Z = -8    ,    (B*⅟₂)² = (4*⅟₂)² =4

Z² +4 Z  +4 = -8 +4

Z² +4 Z  +4 = -4

( Z +2 ) ( Z +2 ) = -4   ,     ( Z +2 )² = -4

√( Z +2 )² = √-4             ,     Z +2 ≠ √-4   Negative

Then the roots are ᴓ or { }

 

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