Giúp em với ạ, em cần gấp trước 7h15 ạ. Em cảm ơn nhiều.
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(a) \(A=\dfrac{3}{x-2}\in Z\)
\(\Rightarrow\left(x-2\right)\inƯ\left(3\right)=\left\{\pm1;\pm3\right\}\)
\(\Rightarrow\left[{}\begin{matrix}x-1=1\\x-1=-1\\x-1=3\\x-1=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=0\\x=4\\x=-2\end{matrix}\right.\)
Vậy: \(x\in\left\{-2;0;2;4\right\}.\)
(b) \(B=-\dfrac{11}{2x-3}\in Z\)
\(\Rightarrow\left(2x-3\right)\inƯ\left(11\right)=\left\{\pm1;\pm3\right\}\)
\(\Rightarrow\left[{}\begin{matrix}2x-3=1\\2x-3=-1\\2x-3=11\\2x-3=-11\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=1\\x=7\\x=-4\end{matrix}\right.\)
Vậy: \(x\in\left\{-4;1;2;7\right\}.\)
(c) \(C=\dfrac{x+3}{x+1}=\dfrac{\left(x+1\right)+2}{x+1}=1+\dfrac{2}{x+1}\in Z\Rightarrow\dfrac{2}{x+1}\in Z\)
\(\Rightarrow\left(x+1\right)\inƯ\left(2\right)=\left\{\pm1;\pm2\right\}\)
\(\Rightarrow\left[{}\begin{matrix}x+1=1\\x+1=-1\\x+1=2\\x+1=-2\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-2\\x=1\\x=-3\end{matrix}\right.\)
Vậy: \(x\in\left\{-3;-2;0;1\right\}.\)
(d) \(D=\dfrac{2x+10}{x+3}=\dfrac{2\left(x+3\right)+4}{x+3}=2+\dfrac{4}{x+3}\in Z\Rightarrow\dfrac{4}{x+3}\in Z\)
\(\Rightarrow\left(x+3\right)\inƯ\left(4\right)=\left\{\pm1;\pm2\pm4\right\}\)
\(\Rightarrow x\in\left\{-2;-4;-1;-5;1;-7\right\}\)
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
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a) Do mắc song song nên:
\(U_{23}=U_3=U_2=I_2.R_2=0,5.6=3\left(V\right)\)
Cường độ dòng điện I3:
\(I_3=\dfrac{U_3}{R_3}=\dfrac{3}{9}=\dfrac{1}{3}\left(A\right)\)
Do mắc nối tiếp nên:
\(I=I_1=I_{23}=I_2+I_3=0,5+\dfrac{1}{3}=\dfrac{5}{6}\left(A\right)\)
b) \(R_{23}=\dfrac{R_2.R_3}{R_2+R_3}=\dfrac{6.9}{6+9}=3,6\left(\Omega\right)\)
\(R_{AB}=R_{23}+R_1=12+3,6=15,6\left(\Omega\right)\)
Hiệu điện thế U giữa 2 đầu đoạn mạch:
\(U=I.R_{tđ}=\dfrac{5}{6}.15,6=13\left(V\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)