Use the Quadratic Formula to Solve the Equation $$\frac { z ^ { 2 } } { 2 } = \frac { z } { 7 } + \frac { 9 } { 14 }$$

Multiple Choice

Use the quadratic formula to solve the equation.
- $$\frac { z ^ { 2 } } { 2 } = \frac { z } { 7 } + \frac { 9 } { 14 }$$

A) $\left\{ - \frac { 9 } { 7 } , - 1 \right\}$
B) $\left\{ - 1 , \frac { 9 } { 7 } \right\}$
C) $\left\{ - \frac { 9 } { 7 } , 1 \right\}$
D) $\left\{ \frac { 9 } { 7 } \right\}$