Question

$$\left. \begin{array} { l } { x ^ { 2 } + \sqrt { 2 } x - 6 = 0 ? } \\ { \{ \frac { - \sqrt { 2 } + \sqrt { 26 } } { 2 } \} \{ \frac { - 2 + \sqrt { 26 } } { 2 } \} } \right.$$

Solve for x, y

$x=\frac{-\sqrt{2}-\sqrt{26}}{2}\approx -3.256616538\text{, }y=\frac{\sqrt{2}+13-\sqrt{13}-\sqrt{26}}{2}\approx 2.854821387$
$x=\frac{\sqrt{26}-\sqrt{2}}{2}\approx 1.842402976\text{, }y=\frac{\sqrt{2}+13-\sqrt{13}-\sqrt{26}}{2}\approx 2.854821387$