The frequency equation of a three-degree-of-freedom system is given by [left|begin{array}{rrr}lambda-5 & -3 & -2 -3 &
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The frequency equation of a three-degree-of-freedom system is given by
\[\left|\begin{array}{rrr}\lambda-5 & -3 & -2 \\-3 & \lambda-6 & -4 \\-1 & -2 & \lambda-6\end{array}\right|=0\]
Find the roots of this equation.
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