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$\left|\begin{array}{ccc}5 & 3 & -1 \\ -7 & x & -3 \\ 9 & 6 & -2\end{array}\right|=0$ , then $x$ is equal to
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The correct answer is:
9
We have $\Delta=\left|\begin{array}{ccc}5 & 3 & -1 \\ -7 & x & -3 \\ 9 & 6 & -2\end{array}\right|=0$
$\therefore \quad-10 x+90-42-81+42+9 x=0$ or $x=9$
$\therefore \quad-10 x+90-42-81+42+9 x=0$ or $x=9$
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