Solve the Equation by Completing the Square $16 x ^ { 2 } - 3 x + 1 = 0$

Multiple Choice

Solve the equation by completing the square.
- $16 x ^ { 2 } - 3 x + 1 = 0$

A) $\left\{ \frac { 3 \pm i \sqrt { 55 } } { 32 } \right\}$
B) $\left\{ \frac { - 3 \pm i \sqrt { 55 } } { 32 } \right\}$
C) $\left\{ \frac { 3 - \mathrm { i } \sqrt { 55 } } { 32 } , \frac { - 3 + \mathrm { i } \sqrt { 55 } } { 32 } \right\}$
D) $\left\{ \frac { 3 \pm \sqrt { 55 } } { 32 } \right\}$