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Alexlax12
a fost răspuns

Daca z²+z+1=0 atunci rezolva z^2005+1/z^2005

Răspuns :

Albatran
z²+z+1=0
(z²+z+1)(z-1)=0
z³-1=0
z³=1
atunci

z^2005=z^2004*z= (z³)^668*z=1^668 *z=z
z^2005+1/z^2005= z+1/z=(z²+1)/z=-z/z=-1
as simple (....:) )as that!!

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