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

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

A) $x = \frac { 2 y \pm \sqrt { 2 - 2 y ^ { 2 } } } { 2 }$
B) $x = y \pm ( 1 - y )$
C) $x = - y \pm \sqrt { 1 - y ^ { 2 } }$
D) $x = - y \pm 2 \sqrt { 1 - y ^ { 2 } }$

Correct Answer:

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