Use the Quadratic Formula to Solve the Equation $$6 x ^ { 2 } + 24 x = - 19$$

question 124

Multiple Choice

Use the quadratic formula to solve the equation.
- $$6 x ^ { 2 } + 24 x = - 19$$

• A) \(\left\{ \frac { - 12 - \sqrt { 30 } } { 6 } , \frac { - 12 + \sqrt { 30 } } { 6 } \right\}\)
• B) \(\left\{ \frac { - 12 - \sqrt { 258 } } { 6 } , \frac { - 12 + \sqrt { 258 } } { 6 } \right\}\)
• C) \(\left\{ \frac { - 12 - \sqrt { 30 } } { 12 } , \frac { - 12 + \sqrt { 30 } } { 12 } \right\}\)
• D) \(\left\{ \frac { - 24 - \sqrt { 30 } } { 6 } , \frac { - 24 + \sqrt { 30 } } { 6 } \right\}\)

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Definitions:

Minimal Welfare

A social welfare system that provides only the most basic level of support to individuals who are unable to support themselves.

Neoliberal State

A type of government that strongly favors free-market capitalism, minimal government intervention in the economy, and reduction in social spending.

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A political system characterized by a concentration of power in a leader or an elite not constitutionally responsible to the populace.

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A group of individuals holding significant wealth and power in a society, often influencing policy and decision-making processes.