Solve the Equation $$x + \frac { 9 } { 4 x } = \frac { 37 } { 4 }$$

Multiple Choice

Solve the equation. $$x + \frac { 9 } { 4 x } = \frac { 37 } { 4 }$$

A) $\left\{ \frac { \sqrt { 26 } } { 2 } \right\}$
B) $\left\{ - \frac { 1 } { 4 } , - 9 \right\}$
C) $\left\{ \frac { 1 } { 4 } , 9 \right\}$
D) $\left\{ \pm \frac { \sqrt { 26 } } { 2 } \right\}$