Question

If \[\begin{vmatrix}2x & 5 \\ 8 & x\end{vmatrix} = \begin{vmatrix}6 & - 2 \\ 7 & 3\end{vmatrix}\] , then x = 

 

Options

•  3

• ± 3

• ± 6

• 6

Answer 1

\[\begin{vmatrix}2x & 5 \\ 8 & x\end{vmatrix} = \begin{vmatrix}6 & - 2 \\ 7 & 3\end{vmatrix}\]
\[ \Rightarrow 2 x^2 - 40 = 18 + 14\]
\[ \Rightarrow 2 x^2 - 40 = 32\]
\[ \Rightarrow 2 x^2 = 72\]
\[ \Rightarrow x^2 = 36\]
\[ \Rightarrow x = \pm 6\]

Hence, the correct option is (c).