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Pentru a rezolva o ecuatie de gradul 2 procedam astfel: 1) Trecem totzi termeni in membrul stang 2) Descompunem in factori membrul stang 3) Egalam fiecare factor cu 0 si gasim radacinile Formula de rezolvare a ecuatie de gradul 2 ax 2 +bx +c =0 a, b, c coeficienti calculeaza discriminantul "=b2 -4 ac 3)Aflam  EMBED Equation.3   2x2 - 7x+ 5=0 a=2 b=-7 c=5 "= 49 -40 =9 e" 0  EMBED Equation.3 = EMBED Equation.3   EMBED Equation.3 = EMBED Equation.3  Daca A(x; y) B(x2; y2) atunci mij AB EMBED Equation.3  Dependenta funcionala: Se numeste dependenta funcioonala intre 2 multimi nevide A,Bo corespondenta intre elementele luiA si elementele lui b care face ca la orice element din a sa-I corespunda un isngur element in B. A=domeniu de definitie B=codomeniu(multimea in care dependenta functonala ia valori) Legea de corespondenta este al 3-lea element Probabilitatea Problema: Un pachet de carti are 52 carti. Aflati probabilitatea extragerii: a)unui 10 b)unui nr. prim c)unui p.p. d)unui nr. par a)Sunt 4 carti cu 10 =>p EMBED Equation.3  b)Nr prime sunt 2,3,5,7,13,11=>6x4=24 p EMBED Equation.3  c)P.p sunt 1,4,9=>3x4 =12=> EMBED Equation.3  d)Nr. pare sunt 2,4,6,8,10,12,14 =>7x4=28 p= EMBED Equation.3  Probabilitatea= EMBED Equation.3  [Proprietatile egalitatii cu nr. reale] 1)a=a(reflexivitate) 2)Daca a=b =>b=a(simetrie) 3)Daca a=b si b=c =>a=c(transitivitate) Medii Media Aritmetica EMBED Equation.3  EMBED Equation.3  Media Geometrica  EMBED Equation.3  Media (h)Armonica EMBED Equation.3  Media Ponderata EMBED Equation.3  Mh< Mg< Ma Metode de rezolvare A sistemelor de ecuatie 1)Metoda Grafica 2)metoda Substitutiei 3)Metoda Reducerii Multimi Relatii  EMBED Equation.3 apartine  EMBED Equation.3 reunit  EMBED Equation.3 intersectat diferenta X produs cartezian N numere naturale:1,2,3 Z numere intregi: -1;-2;0;2 Q numere rationale:1,4;-5,4;3,(5) R-Q numere irationale:  EMBED Equation.3  R - numere reale: EMBED Equation.3  -3,2; 2  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  MINIME: 1)Aflati valoarea minima a expresiei E(x)=x-10x+35 E(x)=x-10x+25+10 E(x)=(x-5)+10 ( ( (x-5)e"0 (V)xTR|+10 ( ((x-5)+10 e"10 =>E(x) e"10 =>minE(x)=10 MAXIME 1)Aflati valoarea maxima a expresiei E(x)=-x-10x+20 xTR E(x)=-x-10x-25+45 E(x)=-(x+10X+25)+45 E(x)=-(x+5)+45 (x+5)e"0 |(-1) =>-(x+5)d"0 =>E(x) d"45=> max E(x)=45 Puteri  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3    #$%&()*3456IJKLNDZDZǜDZDZrW5jB*CJ(EHH*OJQJU^JaJ(mH phsH  jP@ B*CJUVaJph1jB*CJ(H*OJQJU^JaJ(mH phsH (B*CJ(H*OJQJ^JaJ(mH phsH +5B*CJ(H*OJQJ^JaJ(mH phsH %B*CJ(OJQJ^JaJ(mH phsH 4jB*CJ(H*OJQJU^JaJ(mHnHphu5CJ0aJ0mH sH  MNgh!=MNOPxy$a$.{NOTVWYZ[defgӽӽӽv^K?js@ CJUVaJ%B*CJ(OJQJ^JaJ(mH ph3fsH .jB*CJ(OJQJU^JaJ(mH ph3fsH %B* CJ(OJQJ^JaJ(mH phsH 5B*CJ(H*aJ(mH phsH (B*CJ(H*OJQJ^JaJ(mH phsH B*CJ(H*aJ(mH phsH +5B*CJ(H*OJQJ^JaJ(mH phsH %B*CJ(OJQJ^JaJ(mH phsH 1jB*CJ(OJQJU^JaJ(mHnHph3fuλλλiTiAA%B*CJ(OJQJ^JaJ(mH ph3fsH (B*CJ(OJQJ^JaJ(mHnHph3fu1jB*CJ(OJQJU^JaJ(mHnHph3fu%B*CJ(OJQJ^JaJ(mH phPPsH 2jB*CJ(EHOJQJU^JaJ(mH ph3fsH j@ CJUVaJ%B*CJ(OJQJ^JaJ(mH ph3fsH .jB*CJ(OJQJU^JaJ(mH ph3fsH 2jB*CJ(EHOJQJU^JaJ(mH ph3fsH 3<MPWZ]`begj٭٘ooooZZG%B*CJ$OJQJ^JaJ$mH phsH (5B*CJ,OJQJ^JaJ,mH phPPsH +5B*CJ(H*OJQJ^JaJ(mH phPPsH %B*CJ(OJQJ^JaJ(mH phPPsH (B*CJ(H*OJQJ^JaJ(mH phsH %B* CJ(OJQJ^JaJ(mH phsH 1jB*CJ(OJQJU^JaJ(mHnHph3fu%B*CJ(OJQJ^JaJ(mH ph3fsH %B* CJ(OJQJ^JaJ(mH phsH >?y)*9:NiVZ\^z h]^h & F]]&':;<=?A,־ֲ־֌r_L9%B*CJ(OJQJ^JaJ(mH ph3fsH %B*CJ$OJQJ^JaJ$mH phsH %B*CJ,OJQJ^JaJ,mH phsH 2j}B*CJ$EHOJQJU^JaJ$mH phsH j⩷@ CJUVaJ2jB*CJ$EHOJQJU^JaJ$mH phsH j^@ CJUVaJ.jB*CJ$OJQJU^JaJ$mH phsH %B*CJ$OJQJ^JaJ$mH phsH +5B*CJ$H*OJQJ^JaJ$mH phsH ,/MN $&(NPRTVX^bfzëÝjWAW+5B*CJ(H*OJQJ^JaJ(mH ph3fsH %B*CJ(OJQJ^JaJ(mH ph3fsH 1jB* CJ(OJQJU^JaJ(mHnHphu2j B* CJ(EHOJQJU^JaJ(mH phsH j@ CJPJUVaJ.jB* CJ(OJQJU^JaJ(mH phsH %B* CJ(OJQJ^JaJ(mH phsH %B*CJ(OJQJ^JaJ(mH ph3fsH +5B*CJ(H*OJQJ^JaJ(mH ph3fsH z      @ B D F H J p r w]XLEX9j԰@ CJUVaJ jEHUj|@ CJUVaJ jU2jB*CJ(EHOJQJU^JaJ(mH phsH j@ CJUVaJ.jB*CJ(OJQJU^JaJ(mH phsH 2j6 B* CJ(EHOJQJU^JaJ(mH phsH jV@ CJUVaJ%B* CJ(OJQJ^JaJ(mH phsH .jB* CJ(OJQJU^JaJ(mH phsH %B*CJ(OJQJ^JaJ(mH phsH   x   - .  @ Z   / 0 `  ] h]^hr t v x     λznTzA.%B*CJ(OJQJ^JaJ(mH phsH %B*CJ(OJQJ^JaJ(mH ph3fsH 2jB*CJ$EHOJQJU^JaJ$mH phsH j@ CJ$UVaJ$.jB*CJ$OJQJU^JaJ$mH phsH +5B*CJ$H*OJQJ^JaJ$mH phsH %B*CJ$OJQJ^JaJ$mH phsH %B*CJ(OJQJ^JaJ(mH phsH .jB*CJ(OJQJU^JaJ(mH phsH 2jB*CJ(EHOJQJU^JaJ(mH phsH  / 0 H I \ ] ^ _     īğsl`YMF j EHUj@ CJUVaJ jEHUj\@ CJUVaJ jEHUj@ CJUVaJ jU5j[5B*CJ EHOJQJU^JaJ mH phsH j@ CJUVaJ1j5B*CJ OJQJU^JaJ mH phsH (5B*CJ OJQJ^JaJ mH phsH %B* CJ$OJQJ^JaJ$mH phsH %B*CJ$OJQJ^JaJ$mH phsH   % & 9 : ; < > ? 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