Find the Real Solutions, If Any, of the Equation $$4 x ^ { 2 } - x + 7 = 0$$

Multiple Choice

Find the real solutions, if any, of the equation. Use the quadratic formula.
- $$4 x ^ { 2 } - x + 7 = 0$$

A) $\left\{ \frac { - 1 - \sqrt { 113 } } { 8 } , \frac { 1 + \sqrt { 113 } } { 8 } \right\}$
B) $\left\{ \frac { - 1 + \sqrt { 113 } } { 8 } , \frac { 1 + \sqrt { 113 } } { 8 } \right\}$
C) no real solution
D) $\left\{ \frac { - 1 - \sqrt { 113 } } { 8 } , \frac { - 1 + \sqrt { 113 } } { 8 } \right\}$