Functie de gradul II

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alex2008
Leibniz
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Functie de gradul II

Post by alex2008 »

Fie \( a,b,c\in \mathbb{R}\ ,\ a\neq 0 \) , astfel incat \( b^2<4ac \) . Aratati ca daca \( 4a+2b+c>0 \) , atunci :

\(
a+2b+4c>0 \)
.


Bogdan Enescu , OJ 1995
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Marius Mainea
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Post by Marius Mainea »

Daca \( f(x)=ax^2+bx+c \) atunci \( f(2)\cdot f(\frac{1}{2})>0 \)
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