Question

[Đỗ Nguyễn Đức Hoàng]

tim so nguyen x de phan so sau la so nguyen x+3/x-2

Answer 1

[Lê Anh Tú]

Để \(\frac{x+3}{x-2}\) nguyên thì \(x+3\) \(⋮\) \(x-2\)

\(x+3⋮x-2\)

\(\Rightarrow x-2+5⋮x-2\)

      \(x-2⋮x-2\)

\(\Rightarrow5⋮x-2\)

\(\Rightarrow x-2\inƯ\left(5\right)\)

       \(x\in Z\Rightarrow x-2\in Z\)

\(\Rightarrow x-2\in\left\{-1;1;-5;5\right\}\)

\(\Rightarrow x\in\left\{1;3;-3;7\right\}\)

Answer 2

[Đỗ Nguyễn Đức Hoàng]

nhanh nha