Solve the Equation Using the Quadratic Formula $$\frac { 4 } { 9 } x ^ { 2 } - \frac { 4 } { 3 } x = - 1$$

question 174

Multiple Choice

Solve the equation using the quadratic formula.
- $$\frac { 4 } { 9 } x ^ { 2 } - \frac { 4 } { 3 } x = - 1$$

• A) \(\left\{ - \frac { 3 } { 2 } \right\}\)
• B) \(\left\{ \frac { 3 } { 2 } \right\}\)
• C) \(\left\{ \frac { 2 } { 3 } \right\}\)
• D) \(\left\{ \frac { 3 \pm 2 \sqrt { 2 } } { 2 } \right\}\)

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Definitions:

Price Ceiling

A restriction enforced by the government on the highest price allowable for a product or service.

Price Floor

A legally established minimum price below which a good or service cannot be sold, often set to protect producers or farmers from too low prices.

Shortage

A market condition where the demand for a good or service exceeds the supply available at the existing price, resulting in scarcity.

Surplus

Occurs when the quantity of a good or service supplied exceeds the quantity demanded at a specific price, often leading to lower prices.