\(\left(x-4\right)^4+\left(x-2\right)^4=82\)
\(\left(y-1\right)^4+\left(y+1\right)^4=82\\ \)
\(\left(y^4-4y^3+6y^2-4y+1\right)+\left(y^4+4y^3+6y^2+4y+1\right)=82\)
\(2y^4+12y^2+2=82\)
\(z^2+6z-40=0\Rightarrow\orbr{\begin{cases}z=-10\left(loai\right)\\z=4\end{cases}}\)
Z=4=> \(z=4\Rightarrow\orbr{\begin{cases}y=2\Rightarrow x=5\\y=-2\Rightarrow x=1\end{cases}}\)