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Aratati xa 2x patrat + 4x + 6 > 0 , oricare x apartine R

Răspuns :

[tex]2 x^{2} +4x+6\ \textgreater \ 2( x^{2} +2x+4)=2( x^{2} +2x+1+3)= \\ =2[(x+1)^2+3] \ \textgreater \ 0.[/tex]