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1. \(1+\frac{2x-5}{x-2}-\frac{3x-5}{x-1}=0\)
\(\Rightarrow\frac{\left(x-2\right)\left(x-1\right)}{\left(x-2\right)\left(x-1\right)}+\frac{\left(2x-5\right)\left(x-1\right)}{\left(x-2\right)\left(x-1\right)}-\frac{\left(3x-5\right)\left(x-2\right)}{\left(x-2\right)\left(x-1\right)}=0\)
\(\Rightarrow x^2-x-2x+2+2x^2-2x-5x+5-3x^2+6x+5x-10=0\)
\(\Rightarrow x-3=0\Rightarrow x=3\)
2. \(\frac{x-3}{x-2}-\frac{x-2}{x-4}=3\frac{1}{5}\)
\(\Rightarrow\frac{\left(x-3\right)\left(x-4\right)}{\left(x-2\right)\left(x-4\right)}-\frac{\left(x-2\right)^2}{\left(x-2\right)\left(x-4\right)}-\frac{16}{5}=0\)
\(\Rightarrow x^2-4x-3x+12-x^2+4x-4-16=0\)
\(\Rightarrow-3x-8=0\Rightarrow x=\frac{-8}{3}\)
3. \(\frac{x-2}{2+x}-\frac{3}{x-2}=\frac{2\left(x-11\right)}{x^2-4}\)
\(\Rightarrow\frac{\left(x-2\right)^2}{x^2-4}-\frac{3\left(x+2\right)}{x^2-4}-\frac{2\left(x-11\right)}{x^2-4}=0\)
\(\Rightarrow x^2-4x+4-3x-6-2x+22=0\)
\(\Rightarrow x^2-9x+20=0\)
\(\Rightarrow x^2-4x-5x+20=0\)
\(\Rightarrow x\left(x-4\right)-5\left(x-4\right)=0\)
\(\Rightarrow\left(x-4\right)\left(x-5\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x-4=0\\x-5=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=4\\x=5\end{matrix}\right.\)
1/ \(u=x-3\Rightarrow du=dx\Rightarrow I_3=\int\limits^4_0u^{\dfrac{1}{2}}du=\dfrac{2}{3}.u^{\dfrac{3}{2}}|^4_0=\dfrac{2}{3}.4^{\dfrac{2}{3}}=..\)
2/ \(K_3=\int\limits^1_0\dfrac{1}{\left(x-3\right)\left(x-2\right)}dx=\int\limits^1_0(\dfrac{1}{x-3}-\dfrac{1}{x-2})dx\)
\(=\int\limits^1_0\left(x-3\right)^{-1}dx-\int\limits^1_0\left(x-2\right)^{-1}dx\)
\(=\int\limits^1_0\left(x-3\right)^{-1}d\left(x-3\right)-\int\limits^1_0\left(x-2\right)^{-1}d\left(x-2\right)\)
\(=ln\left|x-3\right||^1_0-ln\left|x-2\right||^1_0=...\)
14 Nam is Phuong's brother
15 go => goes
19 It's a big school
21 How many oranges would you like
22 How mich does a bowl of noodles cost?
24 sing => singing
25 My sister goes to the supermarket by bicycle
26 It is a great country
27 They are beautiful girls
1 we should eat a lot of fruit and vegetables everyday
2 Because it rained heavily, we couldn't.....
1. eat a lot of fruit and vegetables everyday
2. it rained heavily, we couldn't keep on cleaning the streets
1, more important
2, worse
3, more clearly
4, well
5, better
6, easier
7, more simply
8, later
9,more narrow
10, earlier
11, more fluently
12, more intelligent
13, more boring
14, faster
15, happily
1) boring
2)peaceful
3) polluted
4)Outdoor
5) isolated
6) around
7) possible
8) conclusion