Question

tim x biết

(3x -1)^10 = (3x-1)^20

Lm giúp mk vs. Mk tick cho. Thank you

Answer 1

\(\left(3x-1\right)^{10}=\left(3x-1\right)^{20}\)

\(\Rightarrow\left(3x-1\right)^{20}-\left(3x-1\right)^{10}=0\)

\(\Rightarrow\left(3x-1\right)^{10}\left[\left(3x-1\right)^{10}-1\right]=0\)

\(\Rightarrow\left[{}\begin{matrix}\left(3x-1\right)^{10}=0\\\left(3x-1\right)^{10}-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}\left(3x-1\right)^{10}=0\\\left(3x-1\right)^{10}=1\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}3x-1=0\\\left[{}\begin{matrix}3x-1=1\\3x-1=-1\end{matrix}\right.\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{3}\\x=\dfrac{2}{3}\\x=0\end{matrix}\right.\)