Numere complexe

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Mateescu Constantin
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Numere complexe

Post by Mateescu Constantin »

\( \left\|\ \begin{array}{cccc}
z_1\ ,\ z_2\ ,\ z_3\ ,\ z_4\ \in\ \mathbb{C} \\\\\\\\
|z_1|=|z_2|=|z_3|=|z_4|=1 \\\\\\\\
(z_1+z_2+z_3+z_4)^2+z_1^2+z_2^2+z_3^2+z_4^2=0 \\\\\\\\
(z_1+z_2+z_3+z_4)^4+z_1^4+z_2^4+z_3^4+z_4^4=0\ \end{array}\right\|\ \Longrightarrow\ z_1^5=z_2^5=z_3^5=z_4^5 \)
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