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

question 294

Multiple Choice

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) \(x = - y \pm 2 \sqrt { 1 - y ^ { 2 } }\)

---

Definitions:

Social Self

The part of the self related to group membership.

William James

An American philosopher and psychologist, often referred to as the "Father of American psychology," known for his work in pragmatism and functionalism.

Blackened Screamo

A genre of music that combines elements of black metal and screamo, known for its intense, emotional performance style.

Crust Punk

A subgenre of punk rock music characterized by a dark, grim aesthetic and anarchist, anti-establishment themes.