Ai gresit enuntul. Ca enuntul sa aiba logica relatia ar trebui sa fie: [tex] 8(X^2_{1} + X^2_{2})-6(X_{1}+X{2})=17[/tex]. In acest caz faci cu Viete:
[tex]X^2_{1} + X^2_{2}=S^2_{1}-2rel2.[/tex]
[tex]S_{1}= \frac{-b}{a} = \frac{3}{2} [/tex]
rel2=[tex] \frac{c}{a} [/tex]=[tex] \frac{-1}{2} [/tex]
In acest caz avem:
[tex]S^2_{1}= \frac{13}{4} [/tex]
Deci:
[tex] 8(X^2_{1} + X^2_{2})-6(X_{1}+X{2})=17[/tex]=>8×[tex] \frac{13}{4} [/tex]-6×[tex] \frac{3}{2} [/tex]=26-9=17
