Find the value of x, if\(\begin{vmatrix} 3& x \\[0.3em] x& 1 \end{vmat

1.	Find the value of x, if\(\begin{vmatrix} 3& x \\[0.3em] x& 1 \end{vmatrix}\)= \(\begin{vmatrix} 3& 2 \\[0.3em] 4& 1 \end{vmatrix}\)
Answer» \(\begin{vmatrix} 3& x \\[0.3em] x& 1 \end{vmatrix}\)= \(\begin{vmatrix} 3& 2 \\[0.3em] 4& 1 \end{vmatrix}\) ⇒ 3 × 1 – x × x = 3 × 1 – 4 × 2 ⇒ 3 – x² = 3 – 8 ⇒ – x² = –5 –3 ⇒ –x² = –8 ⇒ x = ±2√ 2

Find the value of x, if\(\begin{vmatrix} 3& x \\[0.3em] x& 1 \end{vmatrix}\)= \(\begin{vmatrix} 3& 2 \\[0.3em] 4& 1 \end{vmatrix}\)

Answer»

\(\begin{vmatrix} 3& x \\[0.3em] x& 1 \end{vmatrix}\)= \(\begin{vmatrix} 3& 2 \\[0.3em] 4& 1 \end{vmatrix}\)

⇒ 3 × 1 – x × x = 3 × 1 – 4 × 2

⇒ 3 – x² = 3 – 8

⇒ – x² = –5 –3

⇒ –x² = –8

⇒ x = ±2√ 2