Decide What Values of the Variable Cannot Possibly Be Solutions $$\frac { 5 } { x - 5 } + \frac { 14 } { x - 8 } = \frac { 16 } { x ^ { 2 } - 13 x + 40 }$$

question 435

Multiple Choice

Decide what values of the variable cannot possibly be solutions for the equation.
- $$\frac { 5 } { x - 5 } + \frac { 14 } { x - 8 } = \frac { 16 } { x ^ { 2 } - 13 x + 40 }$$

• A) \(\varnothing\)
• B) \(\left\{ \frac { 126 } { 19 } \right\}\)
• C) \(\left\{ \frac { 94 } { 19 } \right\}\)
• D) \(\left\{ - \frac { 33 } { 13 } \right\}\)

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Definitions:

Free Will

The concept that humans have the ability to make choices that are not determined by prior causes or by divine intervention, allowing for personal responsibility.

Positivist Perspective

A view in sociology that relies on empirical evidence and scientific method to understand and explain social phenomena.

Observable Fact

Information or data that can be noticed or perceived directly through the senses or scientific instruments.

Constructionist Perspective

A theoretical approach that suggests reality is socially constructed through human interpretation and interactions, emphasizing the subjective meaning of phenomena.