iran-konkur 2020 Q139

iran-konkur · Other · konkur-riazi_1399_specialized_old-curriculum 3x3 Matrices Determinant of Parametric or Structured Matrix
139- What are the solutions of the equation $0 = \begin{vmatrix} -4 & 1 & 1 \\ 1 & 2-x & 1 \\ 3 & 2 & 3-x \end{vmatrix}$?
\[ (1)\quad 1,\ -4 \qquad (2)\quad 1,\ 4 \qquad (3)\quad 1,\ 5 \qquad (4)\quad 2,\ 5 \]
\textbf{139-} What are the solutions of the equation $0 = \begin{vmatrix} -4 & 1 & 1 \\ 1 & 2-x & 1 \\ 3 & 2 & 3-x \end{vmatrix}$?

\[
(1)\quad 1,\ -4 \qquad (2)\quad 1,\ 4 \qquad (3)\quad 1,\ 5 \qquad (4)\quad 2,\ 5
\]