Multiple choice

Which of the following is not the root of the equation $\begin{vmatrix} x & -6 & -1 \ 2 & -3x & x-3 \ -3 & 2x & x+2 \end{vmatrix}=0$?

  1. 2

  2. 0

  3. 1

  4. -3
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

To test the options, substitute x = 0 into the determinant rows to get (0, -6, -1), (2, 0, -3), and (-3, 0, 2). The determinant evaluates to 0(0 - 0) + 6(4 - 9) - 1(0 - 0) = 6(-5) = -30. Because the determinant equals -30 instead of zero, 0 is not a root of the equation.

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