If `|{:(x,2),(18,x):}|=|{:(6,2),(18,6):}|`, then x is equal to :
(a) 6
(b) `+-6`
( c) -6
0

Explanation

To solve the equation \( | \begin{pmatrix} x & 2 \\ 18 & x \end{pmatrix} | = | \begin{pmatrix} 6 & 2 \\ 18 & 6 \end{pmatrix} | \), we will calculate the determinants on both sides and then solve for \( x \).

### Step 1: Calculate the determinant on the left side
The determinant of a 2x2 matrix \( \begin{pmatrix} a & b \\ c & d \end{pmatrix} \) is given by the formula \( ad - bc \).

For the left side:
\[
| \begin{pmatrix} x & 2 \\ 18 & x \end{pmatrix} | = x \cdot x - 2 \cdot 18 = x^2 - 36
...