If $\left|\begin{array}{cc}2 & 3-x \\ x & 1\end{array}\right|=0$, then the values of x are:
Answer & explanation
Correct answer: option 2
$\left|\begin{array}{cc}2 & 3-x \\ x & 1\end{array}\right|=0$
⇒ 2 × 1 - (3 - x)(x)
⇒ 2 - 3x + x2 = 0
⇒ x2 - 3x + 2 = 0
⇒ x2 - 2x - x + 2 = 0
⇒ x(x - 2) - 1(x - 2) = 0
⇒ (x - 1) (x - 2) = 0
⇒ x = 1, 2