Question

Answer 1

\(ĐK:x\ne2\)

\(\)\(Để\ A\ là\ số\ nguyên\ dương\ thì:\)

\(\left\{{}\begin{matrix}\dfrac{4}{x-2}\in Z\left(1\right)\\\dfrac{4}{x-2}>0\left(2\right)\end{matrix}\right.\)

\(\left(1\right)=>4⋮\left(x-2\right)=>x-2\inƯ\left(4\right)=\left\{\pm1;\pm2;\pm4\right\}\\ =>x\in\left\{3;1;4;0;6;-2\right\}\\ \left(2\right)=>x-2>0< =>x>2\)

\(=>\left\{{}\begin{matrix}x\in\left\{3;1;4;0;6;-2\right\}\\x>2\end{matrix}\right.< =>x\in\left\{3;4;6\right\}\left(TMDK\right)\)