\(\left(x^2-4\right)\left(x^2-25\right)\) la so nguyen am khi :
th1 :
\(\hept{\begin{cases}x^2-4< 0\\x^2-25>0\end{cases}\Rightarrow\hept{\begin{cases}x^2< 4\\x^2>25\end{cases}}}\) ma x thuoc Z
=> vo li
th2 :
\(\hept{\begin{cases}x^2-4>0\\x^2-25< 0\end{cases}\Rightarrow\hept{\begin{cases}x^2>4\\x^2< 25\end{cases}\Rightarrow}x^2\in\left\{9;16\right\}}\)
\(\Rightarrow x=3;4\)