Toán Lớp 9: cho P = x+2/√x
tìm x ∈ Z để P ∈ Z
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Toán Lớp 9: cho P = x+2/√x
tìm x ∈ Z để P ∈ Z
Comments ( 2 )
x = 4\\
x = 1
\end{array} \right.\)
P = \dfrac{{x + 2}}{{\sqrt x }} = \sqrt x + \dfrac{2}{{\sqrt x }}\\
P \in Z \to \dfrac{2}{{\sqrt x }} \in Z\\
\to \sqrt x \in U\left( 2 \right)\\
\to \left[ \begin{array}{l}
\sqrt x = 2\\
\sqrt x = 1
\end{array} \right.\\
\to \left[ \begin{array}{l}
x = 4\\
x = 1
\end{array} \right.
\end{array}\)