Question:
The sum of the real roots of the equatuion
$\left|\begin{array}{ccc}x & -6 & -1 \\ 2 & -3 x & x-3 \\ -3 & 2 x & x+2\end{array}\right|=0$, is equal to
Correct Option: , 3
Solution:
By expansion, we get
$-5 x^{3}+30 x-30+5 x=0$
$\Rightarrow-5 x^{3}+35 x-30=0$
$\Rightarrow x^{3}-7 x+6=0$, All roots
So, sum of roots $=0$