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         <title><![CDATA[ECUATII ALGEBRICE]]></title>
        <description><![CDATA[De la banala ecuaţie ax+b=0, &icirc;n numere reale şi p&acirc;nă la ecuaţia algebrică de gradul n,&nbsp;cu coeficienţi complecşi, e un lung drum (&icirc;nceput &icirc;n gimnaziu şi &icirc;ncheiat &icirc;n clasa a 12-a) printre nenumărate definiţii, teoreme, proprietăţi şi tehnici de calcul&nbsp;bazate pe formule (av&acirc;nd drept scop identificarea soluţiilor sau a naturii acestora). Hai să refacem, &icirc;mpreună, rapid, acest important traseu!]]></description>
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        <lastBuildDate>Sat, 15 Oct 2011 20:39:11 +0300</lastBuildDate>
        <pubDate>Sat, 15 Oct 2011 20:39:11 +0300</pubDate>
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					<title><![CDATA[DEFINITII, GENERALITATI]]></title>
					<description><![CDATA[Definitie: Numim ecuatie algebrica de gradul n orice ecuatie de forma $latex {a_n}{x^n}+{a_{n-1}}{x^{n-1}}+##cdots+{a_k}{x^k}+##cdots+{a_1}{x}+{a_{##circ}}={0},$unde&nbsp;ak in C, pentru orice k natural, iar an diferit de 0. Teorema&nbsp;Abel-Ruffini: O ecuatie algebrica de grad mai mare sau egal...]]></description>
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					<pubDate>Fri, 19 Dec 2008 00:47:46 +0200</pubDate>
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					<title><![CDATA[CLASIFICARE DUPA ASPECT]]></title>
					<description><![CDATA[Ecuatii binome: $latex {x^n}-a=0,a##in{##mathbb{C}},n##in{{##mathbb{N}}^*};$ cele n radacini &nbsp;sunt date de formula: $latex {x_k}=##sqrt[n]{r}##cdot{(##cos{##frac{{##varphi}+{2k}{##pi}}{n}}+{i}##sin{##frac{{##varphi}+{2k}{##pi}}{n}})},$ $latex {0}##leq{k}##leq{n-1},$unde r reprezinta modulul ...]]></description>
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					<pubDate>Wed, 06 Apr 2011 15:24:00 +0300</pubDate>
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					<title><![CDATA[CLASIFICARE DUPA COEFICIENTI]]></title>
					<description><![CDATA[Ecuatii algebrice&nbsp;cu coeficienti reali: Daca o ecuatie algebrica, avand coeficienti reali, admite radacina complexa nereala a + bi, atunci admite si radacina a - bi, ambele cu acelasi ordin de multiplicitate. Consecinte: 1) Orice ecuatie algebrica, avand coeficienti reali, admite un numar pa...]]></description>
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					<pubDate>Wed, 06 Apr 2011 15:17:00 +0300</pubDate>
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					<title><![CDATA[EXEMPLUL 1]]></title>
					<description><![CDATA[Suport teoretic:Ecuatie algebrica de gradul trei, rezolvarea unei inecuatii.Enunt:Fie functia reala de variabila reala, definita prin legea:f(x) = x&sup3; - (1 + m)x&sup2; - (2 - m)x + 2m,unde parametrul m este numar real.Sa se afle valorile naturale ale parametrului, astfel incat f(x) &euro; [0,...]]></description>
					<link>http://www.profesoronline.ro/exemplul_1.html?axBA2064xABdxBA2521xABbxBAartDet</link>
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					<pubDate>Sat, 17 Jul 2010 09:08:00 +0300</pubDate>
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					<title><![CDATA[EXEMPLUL 2]]></title>
					<description><![CDATA[Suport teoretic:Parametru real, radacini reale ale unei ecuatii algebrice.Enunt:Sa se arate ca ecuatia de mai jos, in care m este parametru real, admite cel putin doua radacini reale:$latex x^4+m(m+1)x^3-3x^2-2m(m+1)x-m^2-m+2=0.$]]></description>
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					<pubDate>Fri, 05 Nov 2010 20:53:00 +0200</pubDate>
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					<title><![CDATA[EXEMPLUL 3]]></title>
					<description><![CDATA[Suport teoretic:Ecuatii algebrice cu coeficienti intregi, ecuatii reciproce, schema lui Horner, rezolvari de ecuatii.Enunt:&nbsp;&nbsp;Sa se rezolve in multimea numerelor reale ecuatia:$latex x^4+x^3-4x^2+x+1=0.$Raspuns:$latex S:##;x_1=x_2=1,##;x_3=##frac{-3-##sqrt{5}}{2},##;x_4=##frac{-3+##sqrt{...]]></description>
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					<pubDate>Mon, 31 Jan 2011 16:04:00 +0200</pubDate>
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