Toán Lớp 9: Tìm số nguyên x để
H=2/2x+1 có giá trị số nguyên.
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Toán Lớp 9: Tìm số nguyên x để
H=2/2x+1 có giá trị số nguyên.
Comments ( 2 )
Dkxd:x \ne – \dfrac{1}{2}\\
H = \dfrac{2}{{2x + 1}} \in Z\\
\Leftrightarrow \left( {2x + 1} \right) \in \left\{ { – 2; – 1;1;2} \right\}\\
\Leftrightarrow 2x \in \left\{ { – 3; – 2;0;1} \right\}\\
\Leftrightarrow x \in \left\{ { – \dfrac{3}{2}; – 1;0;\dfrac{1}{2}} \right\}\\
Do:x \in Z\\
\Leftrightarrow x \in \left\{ { – 1;0} \right\}\left( {tmdk} \right)\\
Vay\,x \in \left\{ { – 1;0} \right\}
\end{array}$