Question on: JAMB Mathematics - 2009

If p = (\begin{pmatrix} x + 3 & x + 2 \ x + 1 & x - 1 \end{pmatrix}) evaluate x if |p| = -10

A
-5
B
-2
C
2
D
5
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Correct Option: D

If p = (\begin{pmatrix} x + 3 & x + 2 \ x + 1 & x - 1 \end{pmatrix}) evaluate x if |p| = -10

|P| = (x + 3)(x - 1) - (x + 2)(x + 1)

x2 + 2x - 3 - (x2 + 3x + 2)

x2 + 2x - 3 - x2 - 3x - 2

-x - 5 = -10

-x = -10 + 5

x = 5

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