If \(\begin{vmatrix} m-2 & m+1 \\ m+4 & m-2 \end{vmatrix} = -27\), find the value...
FURTHER MATHEMATICS
WAEC 2016
If \(\begin{vmatrix} m-2 & m+1 \\ m+4 & m-2 \end{vmatrix} = -27\), find the value of m.
- A. \(3\frac{8}{9}\)
- B. \(3\)
- C. \(2\frac{1}{2}\)
- D. \(2\)
Correct Answer: B. \(3\)
Explanation
\(\begin{vmatrix} m-2 & m+1 \\ m+4 & m-2 \end{vmatrix} = -27\)
\((m^{2} - 4m + 4) - (m^{2} + 5m + 4) = -27\)
\(-9m = -27 \implies m = 3\)
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