Question

(x+y)²⁰⁰⁶+2007|y-1|=0

Answer 1

Ta có :

\(\left\{{}\begin{matrix}\left(x+y\right)^{2006}\ge0\\2007\left|y-1\right|\ge0\end{matrix}\right.\)

\(\Leftrightarrow\left(x+y\right)^{2006}+2007\left|y-1\right|\ge0\)

Mà \(\left(x+y\right)^{2006}+2007\left|y-1\right|=0\)

\(\Leftrightarrow\left\{{}\begin{matrix}\left(x+y\right)^{2006}=0\\2007\left|y-1\right|=0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=-1\\y=1\end{matrix}\right.\)