Decide What Values of the Variable Cannot Possibly Be Solutions $$\frac { 5 } { x ^ { 2 } - 4 } - \frac { 3 } { x ^ { 2 } + 5 x + 6 } = \frac { 3 } { x ^ { 2 } + x - 6 }$$

question 414

Multiple Choice

Decide what values of the variable cannot possibly be solutions for the equation.
- $$\frac { 5 } { x ^ { 2 } - 4 } - \frac { 3 } { x ^ { 2 } + 5 x + 6 } = \frac { 3 } { x ^ { 2 } + x - 6 }$$

• A) \(\{ - 3 , - 2,2 \}\)
• B) \(\left\{ \frac { 27 } { 5 } \right\}\)
• C) \(\{ 15 \}\)
• D) \(\{ 7 \}\)

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Definitions:

Personality Characteristics

Traits or qualities that form an individual's distinctive character, often influencing behavior and thought patterns.

Population

The defined group of individuals from which a sample is drawn.

Null Hypothesis

A hypothesis that states there is no statistical significance between the two variables being studied, essentially stating that any observed effect is due to chance.

Independent Variable

The variable in an experimental setting that is manipulated to observe its effect on a dependent variable.