Solve the Equation by Making an Appropriate Substitution $$x ^ { - 2 } - 12 x ^ { - 1 } + 31 = 0$$

Multiple Choice

Solve the equation by making an appropriate substitution.
- $$x ^ { - 2 } - 12 x ^ { - 1 } + 31 = 0$$

A) $\left\{ \frac { 6 \pm \sqrt { 5 } } { 31 } \right\}$
B) $\left\{ \frac { 6 \pm 2 \sqrt { 5 } } { 31 } \right\}$
C) $\left\{ \frac { - 6 \pm \sqrt { 5 } } { 31 } \right\}$
D) $\left\{ \frac { 6 \pm \sqrt { 5 } } { 41 } \right\}$