Giải thích các bước giải:
a) `x^15=x`
`=>x^15-x=0`
`=>x(x^14-1)=0`
`=>`\(\left[ \begin{array}{l}x=0\\x^{14}-1=0\end{array} \right.\) `=>`\(\left[ \begin{array}{l}x=0\\x=\pm1\end{array} \right.\)
c) `(x-5)^4=(x-5)^6`
`=>(x-5)^6-(x-5)^4=0`
`=>(x-5)^4[(x-5)^2-1]=0`
`=>`\(\left[ \begin{array}{l}(x-5)^4=0\\(x-5)^2-1=0\end{array} \right.\) `=>`\(\left[ \begin{array}{l}x-5=0\\\left[ \begin{array}{l}x-5=1\\x-5=-1\end{array} \right.\end{array} \right.\) `=>`\(\left[ \begin{array}{l}x=5\\x=6\\x=4\end{array} \right.\)
