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Ecuatie de gradul II cu solutii reale
Posted: Thu Oct 30, 2008 8:21 pm
by alex2008
Sa se arate ca oricare a, b, c reale , ecuatia (x-a)(x-b)+(x-a)(x-c)+(x-b)(x-c)=0 are intotdeauna solutii reale .
Re: Ecuatie de gradul II cu solutii reale
Posted: Thu Oct 30, 2008 10:49 pm
by Virgil Nicula
**** Reload ****
Posted: Thu Oct 30, 2008 10:50 pm
by Marius Mainea
\( \Delta_x=4(a+b+c)^2-12(ab+bc+ca)=2[(a-b)^2+(b-c)^2+(c-a)^2]\ge 0 \)