Bob Ortega
04/21/2023 · Junior High School
Exercice 1 : Soit \( z \) un nombre complexe non nul. On considère les nombres : \[ z_{1}=z^{3}+\bar{z}^{3} \text { et } z_{2}=\frac{z^{2}-\bar{z}^{2}}{z \bar{z}+2} \] Déterminer si chacun de ces nombres est un nombre réel, un nombre imaginaire pur ou ni l'un ni l'autre.
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\( z_1 \) est un nombre réel et \( z_2 \) est un nombre imaginaire pur.
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