Mathis Elliott
08/23/2023 · Junior High School
2. Soit l'équation en la variable complexe \( Z \) : \( Z^{2}-(2+3 i+4) Z+Z+2 \alpha \cdot i-1=0 \) avec \( \alpha \) complexe a. Déterminer le paramètre \( \alpha \) pour que l'équation admette deux racines complexes conjuguées et calculer les racines b. Dans un autre cas, si une des racines est \( i \), calculer le paremetre \( \alpha \) et l'autre racine
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a. Pour deux racines complexes conjuguées, \( \alpha = 6 \).
b. Si une racine est \( i \), \( \alpha = 4 \) et l'autre racine est \( 8 + 2i \).
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