Sistem de ecuatii cu numere complexe, Lista scurta ONM 2006
Posted: Thu Dec 31, 2009 4:52 pm
Determinati numerele complexe care verifica relatiile:
\( a^{3}+b^{3}+c^{3}=24 \)
\( (a+b)(b+c)(c+a)=64 \)
\( |a+b|=|b+c|=|c+a| \)
Nicolae Musuroaia, Lista scurta ONM 2006
\( a^{3}+b^{3}+c^{3}=24 \)
\( (a+b)(b+c)(c+a)=64 \)
\( |a+b|=|b+c|=|c+a| \)
Nicolae Musuroaia, Lista scurta ONM 2006