Question

(x-6)³ =(x-6)²

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Answer 1

\(\left(x-6\right)^3=\left(x-6\right)^2\)

\(\Rightarrow\left(x-6\right)^3-\left(x-6\right)^2=0\)

\(\Rightarrow\left(x-6\right)^2\left(x-6-1\right)=0\)

\(\Rightarrow\left(x-6\right)^2\left(x-7\right)=0\)

\(\Rightarrow\orbr{\begin{cases}\left(x-6\right)^2=0\\x-7=0\end{cases}\Rightarrow\hept{\begin{cases}x-6=0\Rightarrow x=6\\x=7\end{cases}}}\)