Let be a real number for which the system of linear equations \[ \begin{array}{l} x+y+z=6 \\ 4 ....
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0Let be a real number for which the system of linear equations
\[
\begin{array}{l}
x+y+z=6 \\
4 x+\lambda y-\lambda z=\lambda-2 \\
3 x+2 y-4 z=-5
\end{array}
\]
has infinitely many solutions. Then is a root of the quadratic equation.
(2019)
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