Răspuns:
97/36
Explicație pas cu pas:
[tex]Avem~ecuatia~6x^{2}+7x-4=0.~~aplicam~Viete,~~\left \{ {{x_{1}+x_{2}=-\dfrac{7}{6} } \atop {x_{1}x_{2}=-\dfrac{4}{6} }} \right.\\x^{2}_{1}+x^{2}_{2}=(x_{1}+x_{2})^{2}-2 x_{1}x_{2}=(-\dfrac{7}{6})^{2}-2*(-\dfrac{4}{6})=\dfrac{49}{36}+\dfrac{8}{6}= \dfrac{49}{36}+\dfrac{48}{36}=\dfrac{97}{36}[/tex]
