If | 2 3 2 x x x 4 9 1 | + 3 = 0 , then the value of x is:

Question

If $| \begin{matrix} 2 & 3 & 2 \\ x & x & x \\ 4 & 9 & 1 \end{matrix} |$ $+ 3 = 0,$ then the value of $x$ is:

Smart Achievers · Accepted Answer

(3)

Ans. $- 1$

Explanation:

Given: $| \begin{matrix} 2 & 3 & 2 \\ x & x & x \\ 4 & 9 & 1 \end{matrix} |$ $+ 3 = 0$

$\Rightarrow 2 (x - 9 x) - 3 (x - 4 x) + 2 (9 x - 4 x) + 3 = 0$

$\Rightarrow$ $- 16 x + 9 x + 10 x + 3 = 0$

$\Rightarrow$ $3 x = - 3$

$\Rightarrow$ $x = - 1$

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