Solve For $x$ Given the Following Equation Involving a Determinant $$\left| \begin{array} { c c } x + 2 & 5 \\- 1 & x + 8\end{array} \right| = 0$$

question 13

Multiple Choice

Solve for $x$ given the following equation involving a determinant.
$$\left| \begin{array} { c c } x + 2 & 5 \\- 1 & x + 8\end{array} \right| = 0$$

• A) \(x = 7,3\)
• B) \(x = - 8 , - 2\)
• C) \(x = 8,2\)
• D) \(x = - 7 , - 3\)
• E) \(x = 6 , - 5\)

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Definitions:

Collective Unconscious

A term coined by Carl Jung referring to structures of the unconscious mind which are shared among beings of the same species.

Personality Functioning

Aspects of an individual's personality that influence their patterns of thought, feeling, and behavior in daily life.

Carl Jung

A Swiss psychiatrist and psychoanalyst who founded analytical psychology, known for concepts such as the collective unconscious and archetypes.

Individualism

A societal ideology that elevates the principle of personal freedom over the authority of groups or state mechanisms.