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Antonache Emanuel
Euclid
Posts: 37
Joined: Sat Feb 28, 2009 4:15 pm
Location: Targoviste, Dambovita

Shortlist 16

Post by Antonache Emanuel »

Gasiti toate perechile de numere complexe \( (z_1,z_2) \) care satisfac simultan conditiile:
a)\( |1+z_1+z_2|=|1+z_1|=1 \);
b)\( |z_1z_2(z_1+z_2)|=2(|z_1|+|z_2|) \).
Valentin Voricu, Shortlist 2004
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