Question

[Hoàng Nguyễn Phương Linh]

tính tổng biết và thỏa mãn .
Trả lời:

Answer 1

[Nguyễn Huy Tú]

\(\left\{{}\begin{matrix}\left(\dfrac{1}{13}x-7\right)^8\ge0\\\left(\dfrac{1}{17}y-7\right)^6\ge0\end{matrix}\right.\Rightarrow\left(\dfrac{1}{13}x-7\right)^8+\left(\dfrac{1}{17}y-7\right)^6\ge0\)

Mà \(\left(\dfrac{1}{13}x-7\right)^8+\left(\dfrac{1}{17}y-7\right)^6=0\)

\(\Rightarrow\left\{{}\begin{matrix}\left(\dfrac{1}{13}x-7\right)^8=0\\\left(\dfrac{1}{17}y-7\right)^6=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=91\\y=119\end{matrix}\right.\)

Vậy \(x=91,y=119\)