Solve the Equation for the Indicated Variable $2 x ^ { 2 } - 4 x y + 3 y ^ { 2 } = 1$

Multiple Choice

Solve the equation for the indicated variable. Assume no denominator is 0.
- $2 x ^ { 2 } - 4 x y + 3 y ^ { 2 } = 1$ , for $y$

A) $y = \frac { 2 x \pm 4 \sqrt { 3 - 2 x ^ { 2 } } } { 3 }$
B) $y = \frac { 2 x \pm \sqrt { 6 - 4 x ^ { 2 } } } { 3 }$
C) $y = \frac { 2 x \pm \sqrt { 3 - 2 x ^ { 2 } } } { 3 }$
D) $y = \frac { 2 x \pm 2 \sqrt { 3 - 2 x ^ { 2 } } } { 3 }$