Solve the Equation $12 x ^ { 2 } + 11 x + 2 = 0$

question 9

Multiple Choice

Solve the equation. $12 x ^ { 2 } + 11 x + 2 = 0$

• A) \(\left\{ - \frac { 2 } { 3 } , - \frac { 1 } { 4 } \right\}\)
• B) \(\left\{ \frac { 2 } { 3 } \right\}\)
• C) \(\left\{ - \frac { 1 } { 4 } \right\}\)
• D) \(\left\{ \frac { 2 } { 3 } , \frac { 1 } { 4 } \right\}\)
• E) \(\left\{ \frac { 2 } { 3 } , - \frac { 1 } { 4 } \right\}\)

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Definitions:

Compensating Variation

A monetary measure of the amount of income required to return an individual to their original utility level after a price change.

Price Increase

A rise in the cost of goods or services, which can occur due to various factors including increased production costs, higher demand, or inflation.

Optimal Bundle

The combination of goods and services that maximizes an individual's utility given their budget constraint.

Original Prices

The initial cost or value of goods and services before any discounts, markdowns, or adjustments.