\(\left|x-y\right|+\left|y-z\right|+\left|z-t\right|+\left|t-x\right|=2017\)
Với mọi \(x;y;z;t\in Z\) ta có:
\(\left|x-y\right|+\left|y-z\right|+\left|z-t\right|+\left|t-x\right|=\) \(=\left|x-y+y-z+z-t+t-x\right|\)
Xảy ra với \(x;y;z;t\ge0\)
\(\Rightarrow0=2017\left(ktm\right)\)
\(\left|x-y\right|+\left|y-z\right|+\left|z-t\right|+\left|t-x\right|=\left|-x+y-y+z-z+t-t+x\right|\)
\(\)Xảy ra với \(x;y;z;t< 0\)
\(\Rightarrow0=2017\left(ktm\right)\)
Vậy...