Determine the Constant That Should Be Added to the Binomial $$8 x ^ { 2 } - 3 x + 1 = 0$$

Multiple Choice

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then
write and factor the trinomial.
- $$8 x ^ { 2 } - 3 x + 1 = 0$$

A) $\left\{ \frac { 3 \pm \mathrm { i } \sqrt { 23 } } { 16 } \right\}$
B) $\left\{ \frac { - 3 \pm i \sqrt { 23 } } { 16 } \right\}$
C) $\left\{ \frac { 3 - \mathrm { i } \sqrt { 23 } } { 16 } , \frac { - 3 + \mathrm { i } \sqrt { 23 } } { 16 } \right\}$
D) $\left\{ \frac { 3 \pm \sqrt { 23 } } { 16 } \right\}$