Question

tim x

(x^5)^10=x                                    x^15=x

Answer 1

\(\left(x^5\right)^{10}=x\)

\(\Rightarrow x^{50}=x\)

\(\Rightarrow x^{50}-x=0\)

\(\Rightarrow x.\left(x^{49}-1\right)=0\)

\(\Rightarrow\orbr{\begin{cases}x=0\\x^{49}-1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x^{49}=1\end{cases}\Rightarrow}\orbr{\begin{cases}x=0\\x=1\end{cases}}}\)

\(x^{15}=x\)

\(\Rightarrow x^{15}-x=0\)

\(\Rightarrow x.\left(x^{14}-1\right)=0\)

\(\Rightarrow\orbr{\begin{cases}x=0\\x^{14}-1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x^{14}=1\end{cases}\Rightarrow}\orbr{\begin{cases}x=0\\x=1\end{cases}}}\)

Answer 2

cả hai câu x=0 hoặc x=1