Question
For which value of $x,\left|\begin{array}{ll}3 & 2 \\ 5 & x\end{array}\right|$ will be zero?

Answer

$
\left|\begin{array}{ll}
3 & 2 \\
5 & x
\end{array}\right|=0
$
$\Rightarrow 3 x-10=0 \Rightarrow x=\frac{10}{3} \quad$

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