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

question 394

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

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Definitions:

Existing Partners

Current members of a partnership who have previously entered into a partnership agreement and are actively involved in the business operations.

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A term indicating the entitlement of an individual or entity to take part in certain activities or to have a share in certain rights or benefits.

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The proportion at which profits or losses are divided among participants in a joint venture or partnership agreement.