2. The equation
$$
3 x^{3}+2 \sqrt{2} x^{2}-(17-9 \sqrt{2}) x-(6-5 \sqrt{2})=0
$$

has solutions
$$
x_{1}=
$$
$\qquad$
$$
, x_{2}=
$$
$\qquad$
$$
, x_{3}=
$$
$\qquad$ .
Answer: $\frac{\sqrt{2}}{3}, \sqrt{2}-1,1-2 \sqrt{2}$.