Bài 3:
Ta có: \(A=\dfrac{\sqrt{x}-5}{\sqrt{x}+2}=\dfrac{\sqrt{x}+2-7}{\sqrt{x}+2}=1-\dfrac{7}{\sqrt{x}+2}\)
A nguyên khi \(\dfrac{7}{\sqrt{x}+2}\) nguyên:
\(\Rightarrow7\) ⋮ \(\sqrt{x}+2\)
\(\Rightarrow\sqrt{x}+2\inƯ\left(7\right)=\left\{1;-1;7;-7\right\}\)
Mà: \(\sqrt{x}+2\ge2\)
\(\Rightarrow\sqrt{x}+2\in\left\{7\right\}\)
\(\Rightarrow x\in\left\{25\right\}\)
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Nhờ mn giúp em vs ạ. c.ơn nhìu
