Toán Lớp 6: Bài 3. Tìm x Z sao cho:
a) x + 17 chia hết cho x;
b) x + 12 chia hết cho x + 1;
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Toán Lớp 6: Bài 3. Tìm x Z sao cho:
a) x + 17 chia hết cho x;
b) x + 12 chia hết cho x + 1;
Comments ( 1 )
a)\left[ \begin{array}{l}
x = \pm 17\\
x = \pm 1
\end{array} \right.\\
b)\left[ \begin{array}{l}
x = 10\\
x = – 12\\
x = 0\\
x = – 2
\end{array} \right.
\end{array}\)
a)x + 17 \vdots x\\
\to 17 \vdots x\\
\to x \in U\left( {17} \right)\\
\to \left[ \begin{array}{l}
x = \pm 17\\
x = \pm 1
\end{array} \right.\\
b)x + 12 \vdots x + 1\\
\to x + 1 + 11 \vdots x + 1\\
\to 11 \vdots x + 1\\
\to x + 1 \in U\left( {11} \right)\\
\to \left[ \begin{array}{l}
x + 1 = 11\\
x + 1 = – 11\\
x + 1 = 1\\
x + 1 = – 1
\end{array} \right.\\
\to \left[ \begin{array}{l}
x = 10\\
x = – 12\\
x = 0\\
x = – 2
\end{array} \right.
\end{array}\)