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Fie a,b,c numere reale; atunci ecuatia 2x^2-2x(a+b+c)sqrt(2)+2(a^2+b^2+c^2)+ab+bc+ca=0 are cel putin o solutie reala daca si numai daca:

(a)a=b=c; (b)a=b=c=1; (c)0<=a+b+c<=1; (d)a^2+b^2+c^2>=1 ; (e)a^2+b^2+c^2=0; (f)ab+bc+ca>=1.
(Am adăugat si poza ca sa fie mai usor de inteles)



Fie Abc Numere Reale Atunci Ecuatia 2x22xabcsqrt22a2b2c2abbcca0 Are Cel Putin O Solutie Reala Daca Si Numai Dacaaabc Babc1 C0ltabclt1 Da2b2c2gt1 Ea2b2c20 Fabbcc class=