Find the value of x if \(\begin{vmatrix}3x & 5 \\2 & x \end{vmatrix}\) = \(\begin{vmatrix}4 & 5 \\13 & -5 \end{vmatrix}\)
Answer & explanation
Correct answer: option 3
\(\begin{vmatrix}3x & 5 \\2 & x \end{vmatrix}\) = \(\begin{vmatrix}4 & 5 \\13 & -5 \end{vmatrix}\)
\(⇒3 { x }^{ 2 } -10 =-20- 65\)
so \(3 { x }^{ 2 } = -75\)
\({ x }^{ 2 } = -25\)
so $x=±5$