Determine the Most Efficient Method to Use When Solving a Quadratic

Multiple Choice

Determine the Most Efficient Method to Use When Solving a Quadratic Equation
Solve the equation by the method of your choice.
- $$\frac { 2 x } { x - 5 } - \frac { x } { x - 8 } = \frac { 7 } { x ^ { 2 } - 13 x + 40 }$$

A) $\left\{ \frac { 11 \pm \sqrt { 149 } } { 2 } \right\}$
B) $\left\{ \frac { - 11 \pm \sqrt { 149 } } { 2 } \right\}$
C) $\left\{ \frac { 11 \pm \sqrt { 93 } } { 2 } \right\}$
D) $\left\{ \frac { - 11 \pm \sqrt { 93 } } { 2 } \right\}$