Solve the Equation by Completing the Square $$4 x ^ { 2 } - 7 x = 1$$

Multiple Choice

Solve the equation by completing the square.
- $$4 x ^ { 2 } - 7 x = 1$$

A) $\left\{ \frac { 7 \pm \sqrt { 65 } } { 8 } \right\}$
B) $\left\{ - \frac { 7 } { 8 } \pm \frac { \sqrt { 65 } } { 8 } \mathrm { i } \right\}$
C) $\left\{ \frac { 7 } { 8 } \pm \frac { \sqrt { 65 } } { 8 } \mathrm { i } \right\}$
D) $\left\{ \frac { - 7 \pm \sqrt { 65 } } { 8 } \right\}$