Find All Values of X Satisfying the Given Conditions $y = \left( x ^ { 2 } - 2 x \right) ^ { 2 } - 18 \left( x ^ { 2 } - 2 x \right)$

question 277

Multiple Choice

Find all values of x satisfying the given conditions.
- $y = \left( x ^ { 2 } - 2 x \right) ^ { 2 } - 18 \left( x ^ { 2 } - 2 x \right)$ and $y = - 45$

• A) \(- 1 , - 3,3,5\)
• B) 3,5
• C) 3,15
• D) \(- 1 , - 3,3,15,3,5\)

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Definitions:

Price Floor

A legally imposed minimum price below which a good or service cannot be sold, typically above the equilibrium price, leading to surpluses.

Shortage/Surplus

A market condition where the quantity of a good or service supplied is not equal to the quantity demanded; shortages occur when demand exceeds supply, and surpluses occur when supply exceeds demand.

Price Floor

A government or regulatory-imposed minimum price that can be charged for a good or service.

Quantity Demanded

The specific amount of a good or service that consumers are willing to purchase at a given price, at a particular time.