Find the value of x is `abs([3,x],[x,1])=abs([3,2],[4,1])`

Explanation

To solve the problem, we need to find the value of \( x \) such that the absolute value of the determinant of the matrix \(\begin{bmatrix} 3 & x \\ x & 1 \end{bmatrix}\) is equal to the absolute value of the determinant of the matrix \(\begin{bmatrix} 3 & 2 \\ 4 & 1 \end{bmatrix}\).

### Step 1: Calculate the determinant of the first matrix

The determinant of a \(2 \times 2\) matrix \(\begin{bmatrix} a & b \\ c & d \end{bmatrix}\) is given by the formula:
\[ \text{det} = ad - bc \]
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