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) \(\left\{ \frac { 64 } { 13 } \right\}\)

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Definitions:

Fallacy

A flaw in rational process causing an argument to be invalid.

Authority

The power or right to give orders, make decisions, and enforce obedience.

Subjectivism

The philosophical stance that knowledge and reality are subject to individual interpretation or perception.

Fallacy

An erroneous argument dependent upon an unsound or illogical contention.