\(A=\dfrac{-5}{\sqrt{x+1}}\)
\(ĐKXĐ:x>-1\)
A nguyên khi \(-5⋮\sqrt{x+1}\)
\(\Rightarrow\sqrt{x+1}\inƯ\left(-5\right)=\left\{-5;-1;1;5\right\}\)
Mà \(\sqrt{x+1}>0\)
\(\Rightarrow\sqrt{x+1}\in\left\{1;5\right\}\)
\(\Rightarrow x+1\in\left\{1;25\right\}\)
\(\Rightarrow x\in\left\{0;24\right\}\)