1.
The number of real values of xx satisfying x3x+22x12x14x3x+17x217x+612x1=0\begin{vmatrix} x & 3x+2 & 2x-1 \\ 2x-1 & 4x & 3x+1 \\ 7x-2 & 17x+6 & 12x-1 \end{vmatrix} = 0 is