Solve the Equation Algebraically $$v ^ { 2 } + 2 = 8 - 4 v ^ { 2 }$$

Multiple Choice

Solve the equation algebraically.
- $$v ^ { 2 } + 2 = 8 - 4 v ^ { 2 }$$

A) $\pm \sqrt { \frac { 6 } { 5 } }$
B) $\pm \sqrt { \frac { 1 } { 4 } }$
C) $\pm \sqrt { \frac { 1 } { 2 } }$
D) $\pm \sqrt { \frac { 5 } { 6 } }$