formule mate.docx

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Ecuatia de grad I:are forma :

Are solutia unicaEcuatia de grad II:are forma :Rezolvare: prin descompunerea in factori sau in suma de patrate .Se calculeazaa) daca ecuatia nu are solutii realeb) dacaecuatia are 2 solutii reale si egale.c) dacaecuatia are 2 solutii reale si distincte: Relatiile lui Viete:pentru, sumasi produsulal radacinilor sunt:

Ecuatia de grad IIIare forma: Facem substitutia: avand,Se noteaza cusi Radacinile ecuatiei sunt: discriminantul ecuatiei. Dacaecuatia are toate radacinile reale,distincte. Dacaecuatia are toate radacinile reale ,dintre care cel putin 2egale. Dacaecuatia are o singura radacina reala si 2 complexe conjugate.

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