Decide What Values of the Variable Cannot Possibly Be Solutions $$\frac { 4 } { x - 9 } + \frac { 9 } { x + 6 } = \frac { 7 } { x ^ { 2 } - 3 x - 54 }$$

question 431

Multiple Choice

Decide what values of the variable cannot possibly be solutions for the equation.
- $$\frac { 4 } { x - 9 } + \frac { 9 } { x + 6 } = \frac { 7 } { x ^ { 2 } - 3 x - 54 }$$

• A) \(\left\{ - \frac { 11 } { 2 } \right\}\)
• B) \(\left\{ \frac { 28 } { 3 } \right\}\)
• C) \(\varnothing\)
• D) \(\left\{ \frac { 64 } { 13 } \right\}\)

---

Definitions:

Marginal Utility

The extra pleasure or benefit gained by a person from consuming one more unit of a product or service.

Total Utility

The overall satisfaction or utility that a consumer derives from consuming a certain quantity of goods or services.

Marginal Utility

The extra pleasure or benefit a consumer receives from using an additional unit of a product or service.

Maximizing Utility

The process by which individuals or consumers adjust their consumption of goods and services to achieve the highest level of satisfaction or utility.