Question

Fie x1 si x2 solutiile ecuatiei 6x la puterea a 2 a + 7x - 4 = 0. Fara a rezolva ecuatia aflati x1 la puterea a 2 a + x2 la puterea a 2 a.

Am nevoie urgent!!!

Answer 1

X1^2a+x2^2a=2x^2 2a
Sau trebuie raspunsu sa fie doar cifre

Answer 2

Răspuns:

97/36

Explicație pas cu pas:

$Avem~ecuatia~6x^{2}+7x-4=0.~~aplicam~Viete,~~\left \{ {{x_{1}+x_{2}=-\dfrac{7}{6} } \atop {x_{1}x_{2}=-\dfrac{4}{6} }} \right.\\x^{2}_{1}+x^{2}_{2}=(x_{1}+x_{2})^{2}-2 x_{1}x_{2}=(-\dfrac{7}{6})^{2}-2*(-\dfrac{4}{6})=\dfrac{49}{36}+\dfrac{8}{6}= \dfrac{49}{36}+\dfrac{48}{36}=\dfrac{97}{36}$