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se considera expresia E(x)=
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Răspuns :

Răspuns:

Explicație pas cu pas:

E(x)=(x+1)²-[-(x+1)]²+x²+2x+1=(x+1)²-(x+1)²+(x+1)²=(x+1)²  pt ∨x∈R

E(x)  este patrat perfect  ⇒E(x)>x

x²+2x+1-x>0   ⇒x²+x+1>0

x1,2=-1±√1-4/2  ⇒ Δ=-3    ⇒ec nu are solutii in R

x²+x+1>0       pt ∨x∈R