Solve the Equation by Completing the Square $$5 x ^ { 2 } - 2 x - 2 = 0$$

Multiple Choice

Solve the equation by completing the square.
- $$5 x ^ { 2 } - 2 x - 2 = 0$$

A) $\left\{ \frac { 5 - \sqrt { 11 } } { 25 } , \frac { 5 + \sqrt { 11 } } { 25 } \right\}$
B) $\left\{ \frac { - 1 - \sqrt { 11 } } { 5 } , \frac { - 1 + \sqrt { 11 } } { 5 } \right\}$
C) $\left\{ - 2 , \frac { 12 } { 5 } \right\}$
D) $\left\{ \frac { 1 - \sqrt { 11 } } { 5 } , \frac { 1 + \sqrt { 11 } } { 5 } \right\}$