Question

Tìm x,y ∈ Z, biết : ( x -2 )¹⁰ + /y - 2/ =0

Answer 1

Ta có:

\(\left\{{}\begin{matrix}\left(x-2\right)^{10}\ge0\forall x\in Z\\\left|y-2\right|\ge0\forall y\in Z\end{matrix}\right.\\ \Rightarrow\left(x-2\right)^{10}+\left|y-2\right|\ge0\forall x,y\in Z\\ \Rightarrow\left\{{}\begin{matrix}\left(x-2\right)^{10}=0\\\left|y-2\right|=0\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}x=2\\y=2\end{matrix}\right.\\ Vậy...\)