Question

Fie x1 si x2 solutiile ecuatiei $\sqrt{2} x^{2} -x- \sqrt{3} .$. Fara a rezolva ecuatia aflati x1^2 + x2^2

Answer 1

Fie [tex]S = x_{1}+x_{2} = \frac{-b}{a} = \frac{1}{ \sqrt{2}} \\ P = x_{1}x_{2} = \frac {c}{a} = \frac{-\sqrt{3}}{\sqrt{2}}\\ \\ x_{1}^{2}+x_{2}^{2} = (x_{1}+x_{2})^{2} - 2x_{1}x_{2} = S^{2} - 2P [/tex]

Tot ce ai de facut sunt calcule. 

Unde n-ai inteles intrebi.