Ta có :
\(\dfrac{x}{2}=\dfrac{8}{x}\left(x\in Z\right)\)
\(\Rightarrow x.x=8.2\) \(\Rightarrow x.x=16\)
\(x^2=16\)
\(\Rightarrow\left[{}\begin{matrix}x^2=4^2\\x^2=\left(-4\right)^2\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=4\\x=-4\end{matrix}\right.\) (thỏa mãn)
Vậy \(\left[{}\begin{matrix}x=4\\x=-4\end{matrix}\right.\) là giá trị cần tìm
~ Chúc bn học tốt ~
\(\dfrac{x}{2}=\dfrac{8}{x}\)
\(\Rightarrow x^2=8.2\)
\(\Rightarrow x^2=16\)
\(\Rightarrow x^2=4^2\)
\(\Rightarrow x=4\)