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

question 64

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

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Definitions:

Sensation Seeking Scale

A psychological tool used to measure an individual's tendency to seek varied, novel, complex, and intense sensations and experiences.

Personality Differences

Variations among individuals in terms of their patterns of thinking, feeling, and behaving.

Neuroticism

A personality trait characterized by a tendency to experience negative emotions more easily, such as anxiety, anger, or depression.

Sensation Seekers

Sensation seekers are individuals who seek out experiences that are varied, novel, complex, and intense in order to satisfy their need for physical and emotional arousal.