6 Determine the Most Efficient Method to Use When Solving $$6 x ^ { 2 } + 12 x + 3 = 0$$

question 98

Multiple Choice

6 Determine the Most Efficient Method to Use When Solving a Quadratic Equation
- $$6 x ^ { 2 } + 12 x + 3 = 0$$

• A) \(\left\{ \frac { - 2 - \sqrt { 2 } } { 2 } , \frac { - 2 + \sqrt { 2 } } { 2 } \right\}\)
• B) \(\left\{ \frac { - 2 - \sqrt { 2 } } { 12 } , \frac { - 2 + \sqrt { 2 } } { 12 } \right\}\)
• C) \(\left\{ \frac { - 12 - \sqrt { 2 } } { 2 } , \frac { - 12 + \sqrt { 2 } } { 2 } \right\}\)
• D) \(\left\{ \frac { - 2 - \sqrt { 6 } } { 2 } , \frac { - 2 + \sqrt { 6 } } { 2 } \right\}\)

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Definitions:

Conjectural Variation

An expectation of how rival firms will react to a change in the quantity and price of goods a firm markets.

Demand Function

A mathematical formula that describes the relationship between the quantity demanded of a good and its various determinants such as price, income, and substitute prices.

Cournot Equilibrium Price

A concept in economics where firms reach a state in which each firm chooses the quantity to produce to maximize its profit, given the quantities chosen by other firms in the market.

Inverse Demand Function

A mathematical representation showing the relationship between the price of a good and the quantity demanded, expressed as price as a function of quantity.