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Jednacina s korijenima
Re: Jednacina s korijenima
od Daniel » Nedelja, 21. Jun 2015, 15:46
@Ilija, samo što si postavio to pitanje i ja ti odgovorio, eto, već se desio jedan zadatak u kome sam upravo to i primenio...
I do not fear death. I had been dead for billions and billions of years before I was born, and had not suffered the slightest inconvenience from it. – Mark Twain
Re: Jednacina s korijenima
od Ilija » Nedelja, 21. Jun 2015, 15:48
Ako ignorisem apsolutnu vrednost dobijem resenja [inlmath]x_1=2[/inlmath] i [inlmath]x_2=1+\sqrt3[/inlmath], a tacna resenja su [inlmath]x_1=1[/inlmath] i [inlmath]x_2=2+\sqrt3[/inlmath].
The difference between stupidity and genius is that genius has its limits. — Albert Einstein
Re: Jednacina s korijenima
od Daniel » Nedelja, 21. Jun 2015, 15:53
Ako su tačna rešenja [inlmath]x_1=1[/inlmath] i [inlmath]x_2=2+\sqrt3[/inlmath], to znači da ti sâm izraz [inlmath]x_{1,2}=\frac{\left(3+\sqrt3\right)\pm\left|\sqrt3-1\right|}{2}[/inlmath] nije tačan.
Ajd, ako hoćeš, postavi ceo zadatak, al' u zasebnu temu.
Ajd, ako hoćeš, postavi ceo zadatak, al' u zasebnu temu.
I do not fear death. I had been dead for billions and billions of years before I was born, and had not suffered the slightest inconvenience from it. – Mark Twain
Re: Jednacina s korijenima
od Ilija » Nedelja, 21. Jun 2015, 15:57
Imam gresku pod korenom. Umesto [inlmath]\left|\sqrt3-1\right|[/inlmath], treba da stoji [inlmath]\left|\sqrt3+1\right|[/inlmath] (jer je meni [inlmath]6\sqrt3-4\sqrt3[/inlmath] jednako [inlmath]-2\sqrt3[/inlmath], a ne [inlmath]2\sqrt3[/inlmath]). Desava se. 
The difference between stupidity and genius is that genius has its limits. — Albert Einstein
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