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Find all values of x such that

\(\begin{vmatrix} x & 1 & 1 \\ 1 & x & 1 \\ 1 & 1 & x \end{vmatrix} = 0\)

 

Enter your values separated by commas.  For example, if you think the possible values are 4, 5, and 6, then enter your answer as "4,5,6".

 May 14, 2022
 #1
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If you simplify the determinant, the equation is just \(x^3 - 3x + 2 = 0\). You can solve that by factorizing the left-hand side.

 May 14, 2022

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