a/ Ta có :
\(\left\{{}\begin{matrix}\left(x-1\right)^4\ge0\\\left(y-3\right)^4\ge0\end{matrix}\right.\)
Mà \(\left(x-1\right)^4+\left(y-3\right)^4=0\)
\(\Leftrightarrow\left\{{}\begin{matrix}\left(x-1\right)^4=0\\\left(y-3\right)^4=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x-1=0\\y-3=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=1\\y=3\end{matrix}\right.\)
Vậy ................
b/ Ta thấy :
\(\left\{{}\begin{matrix}\left(x+y\right)^{2006}\ge0\\2000\left|y-1\right|\ge0\end{matrix}\right.\)
Mà \(\left(x+y\right)^{2006}+2000\left|y-1\right|=0\)
\(\Leftrightarrow\left\{{}\begin{matrix}\left(x+y\right)^{2006}=0\\2000\left|y-1\right|=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x+y=0\\\left|y-1\right|=0\end{matrix}\right.\)
+) \(\left|y-1\right|=0\)
\(\Leftrightarrow y-1=0\)
\(\Leftrightarrow y=1\)
Mà \(x+y=0\)
\(\Leftrightarrow x=-1\)
Vậy ........
c/ Tương tự như b
