Ecuatie de gradul II cu solutii reale

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alex2008
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Ecuatie de gradul II cu solutii reale

Post 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 .
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Virgil Nicula
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Re: Ecuatie de gradul II cu solutii reale

Post by Virgil Nicula »

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Last edited by Virgil Nicula on Thu Oct 30, 2008 11:10 pm, edited 4 times in total.
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Marius Mainea
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Post by Marius Mainea »

\( \Delta_x=4(a+b+c)^2-12(ab+bc+ca)=2[(a-b)^2+(b-c)^2+(c-a)^2]\ge 0 \)
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