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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