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a fost răspuns

Aratati ca (x+1)^2>x oricare ar fi x apartine R

Răspuns :

Albatran
x²+2x+1>x
x²+x+1>0
x²+x+1/4+3/4>0
x²+2 *x+1/2+(1/2)²+3/4>0

(x+1/2)²+3/4≥0+3/4=3/4>0 adevarat

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