If -9 is a root of the equation $\left|\begin{array}{lll}x & 8 & 7 \\ 2 & x & 2 \\ 7 & 6 & x\end{array}\right|-0$, then the other two roots are

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Aayush · Answer 1 · 2024-02-22T07:47:57+0000

Hint —

Applying $R_1 \rightarrow R_1+R_2+R_3$ and taking common from $R_1$,

we get $(x+9)\left|\begin{array}{lll}1 & 1 & 1 \\ 7 & x & 2 \\ 7 & 6 & x\end{array}\right|=0$

So, The correct option is (A).

If -9 is a root of the equation $\left|\begin{array}{lll}x & 8 & 7 \\ 2 & x & 2 \\ 7 & 6 & x\end{array}\right|-0$, then the other two roots are

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