Jambmaths question:
If $\left( \begin{matrix} x+3 & x+2 \\ x+1 & x-1 \\\end{matrix} \right)$, evaluate x if $\left| P \right|=-10$
Jamb Maths Solution:
$\begin{align} & \left| \begin{matrix} x+3 & x+2 \\ x+1 & x-1 \\\end{matrix} \right|=-10 \\ & (x+3)(x-1)-(x+1)(x+2)=-10 \\ & {{x}^{2}}+2x-3-{{x}^{2}}-3x-2=-10 \\ & -x-5=-10 \\ & -x=-5 \\ & x=5 \\\end{align}$
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