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![](https://rs.olm.vn/images/avt/0.png?1311)
ĐKXĐ: x<>1 và y<>0
\(\left\{{}\begin{matrix}\dfrac{1}{x-1}+\dfrac{1}{y}=-1\\\dfrac{3}{x-1}-\dfrac{2}{y}=7\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}\dfrac{2}{x-1}+\dfrac{2}{y}=-2\\\dfrac{3}{x-1}-\dfrac{2}{y}=7\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\dfrac{5}{x-1}=5\\\dfrac{1}{x-1}+\dfrac{1}{y}=-1\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x-1=1\\\dfrac{1}{y}=-1-1=-2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=2\\y=-\dfrac{1}{2}\end{matrix}\right.\left(nhận\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1 was repaired
2 Was - bought
3 are watered
4 wasn't learned
5 was watched
6 Is - read
7 was stolen
8 was broken
9 wasn't cut
10 is cleaned
![](https://rs.olm.vn/images/avt/0.png?1311)
\(n_{AgNO_3}=1.0,5=0,5\left(mol\right);n_{HCl}=2.0,3=0,6\left(mol\right)\)
PTHH: AgNO3 + HCl → AgCl ↓ + HNO3
Mol: 0,5 0,5 0,5
Ta có: \(\dfrac{0,5}{1}< \dfrac{0,6}{1}\)⇒ AgNO3 pứ hết, HCl dư
* Vdd sau pứ = 0,5+0,6 = 1,1 (l)
\(\Rightarrow C_{M_{ddNO_3}}=\dfrac{0,5}{1,1}=0,4545M\)
\(C_{M_{ddHCldư}}=\dfrac{0,6-0,5}{1,1}=0,0909M\)
\(m_{ddAgNO_3}=500.1,2=600\left(g\right);m_{ddHCl}=300.1,5=450\left(g\right)\)
* mdd sau pứ = 600+450 = 1050 (g)
\(C\%_{ddHNO_3}=\dfrac{0,5.63.100\%}{1050}=3\%\)
\(C\%_{ddHCl}=\dfrac{\left(0,6-0,5\right).36,5.100\%}{1050}=0,348\%\)
![](https://rs.olm.vn/images/avt/0.png?1311)
g: A<1
=>\(\dfrac{2\sqrt{x}-1}{\sqrt{x}+1}< 1\)
=>\(\dfrac{2\sqrt{x}-1-\sqrt{x}-1}{\sqrt{x}+1}< 0\)
=>\(\sqrt{x}-2< 0\)
=>\(\sqrt{x}< 2\)
=>0<=x<4
Kết hợp ĐKXĐ, ta được: \(\left\{{}\begin{matrix}0< =x< 4\\x< >1\end{matrix}\right.\)
h: \(A=\dfrac{2\sqrt{x}-1}{\sqrt{x}+1}\)
=>\(A=\dfrac{2\sqrt{x}+2-3}{\sqrt{x}+1}=2-\dfrac{3}{\sqrt{x}+1}\)
\(\sqrt{x}+1>=1\forall x\) thỏa mãn ĐKXĐ
=>\(\dfrac{3}{\sqrt{x}+1}< =\dfrac{3}{1}=3\forall x\) thỏa mãn ĐKXĐ
=>\(-\dfrac{3}{\sqrt{x}+1}>=-3\forall x\) thỏa mãn ĐKXĐ
=>\(-\dfrac{3}{\sqrt{x}+1}+2>=-3+2=-1\forall x\) thỏa mãn ĐKXĐ
=>\(A>=-1\forall x\) thỏa mãn ĐKXĐ
Vậy: \(A_{min}=-1\) khi x=0
i: \(P=A\left(-x+2\sqrt{x}+3\right)\)
\(=\dfrac{2\sqrt{x}-1}{\sqrt{x}+1}\cdot\left(-1\right)\cdot\left(x-2\sqrt{x}-3\right)\)
\(=\dfrac{1-2\sqrt{x}}{\sqrt{x}+1}\cdot\left(\sqrt{x}-3\right)\left(\sqrt{x}+1\right)\)
\(=\left(1-2\sqrt{x}\right)\left(\sqrt{x}-3\right)\)
\(=\sqrt{x}-3-2x+6\sqrt{x}=-2x+7\sqrt{x}-3\)
\(=-2\left(x-\dfrac{7}{2}\sqrt{x}+\dfrac{3}{2}\right)\)
\(=-2\left(x-2\cdot\sqrt{x}\cdot\dfrac{7}{4}+\dfrac{49}{16}-\dfrac{1}{16}\right)\)
\(=-2\left(\sqrt{x}-\dfrac{7}{4}\right)^2+\dfrac{1}{8}< =\dfrac{1}{8}\forall x\) thỏa mãn ĐKXĐ
Dấu '=' xảy ra khi \(\sqrt{x}-\dfrac{7}{4}=0\)
=>\(\sqrt{x}=\dfrac{7}{4}\)
=>\(x=\dfrac{49}{16}\)
![](https://rs.olm.vn/images/avt/0.png?1311)