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X*x*x*...*x de 2009 ori =-1

Răspuns :

[tex]x^{2009}=-1=cos\pi+i\cdot sin\pi\Rightarrow x=cos\dfrac{\pi+2k\pi}{2009}+i\cdot sin\dfrac{\pi+2k\pi}{2009},\\\\unde\;k\in\{0,1,2,3,\ \ldots,\ 2008\}.\\\\Green\ eyes.[/tex]