Ta có :
\(\left(x-\dfrac{1}{5}\right)^{2014}+\left(y+0,4\right)^{100}+\left(z-3\right)^{678}=0\)
Mà \(\left\{{}\begin{matrix}\left(x-\dfrac{1}{5}\right)^{2014}\ge0\\\left(y+0,4\right)^{100}\ge0\\\left(z-3\right)^{678}\ge0\end{matrix}\right.\)
\(\Leftrightarrow\left(x-\dfrac{1}{5}\right)^{2014}+\left(y+0,4\right)^{100}+\left(z-3\right)^{678}\ge0\)
Lại có : \(\left(x-\dfrac{1}{5}\right)^{2014}+\left(y+0,4\right)^{100}+\left(z-3\right)^{678}=0\)
\(\Leftrightarrow\left\{{}\begin{matrix}\left(x-\dfrac{1}{5}\right)^{2014}=0\\\left(y+0,4\right)^{100}=0\\\left(z-3\right)^{678}=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x-\dfrac{1}{5}=0\\y+0,4=0\\z-3=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{1}{5}\\y=-0,4\\z=3\end{matrix}\right.\)
Vậy ,,,
