Mong mn giúp đỡ
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41 in
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\(f\left(x\right)=x^2-\left(2m-1\right)x-2\sqrt{x}+m^2-2m\)
1) đk: \(x\ge0\)
Thay m=2 vào \(f\left(x\right)=0\) ta được: \(x^2-3x-2\sqrt{x}=0\)
\(\Leftrightarrow\)\(\sqrt{x}\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)^2=0\)
\(\Leftrightarrow\left[{}\begin{matrix}\sqrt{x}=0\\\sqrt{x}-2=0\\\sqrt{x}+1=0\left(vn\right)\end{matrix}\right.\)\(\Leftrightarrow\)\(\left[{}\begin{matrix}x=0\\x=4\end{matrix}\right.\)(tm)
2) Thay m=6 vào f(x) ta được:
\(f\left(x\right)=x^2-11x-2\sqrt{x}+24\)
\(f\left(x\right)\le0\) \(\Leftrightarrow x^2-11x-2\sqrt{x}+24\le0\) (bước này coi \(\sqrt{x}\) là nghiệm thì sẽ trở thành bpt
bậc 4 ,bấm máy tính sẽ tìm được nghiệm)
\(\Leftrightarrow\)\(\left(\sqrt{x}-3\right)\left(\sqrt{x}+2\right)\left(\sqrt{x}-\dfrac{-1+\sqrt{17}}{2}\right)\left(\sqrt{x}+\dfrac{1+\sqrt{17}}{2}\right)\le0\)
mà \(\sqrt{x}\ge0\) \(\Rightarrow\left\{{}\begin{matrix}\sqrt{x}+2>0\\\sqrt{x}+\dfrac{1+\sqrt{17}}{2}>0\end{matrix}\right.\)
bpt \(\Leftrightarrow\left(\sqrt{x}-3\right)\left(\sqrt{x}-\dfrac{-1+\sqrt{17}}{2}\right)\le0\)
\(\Leftrightarrow\sqrt{x}\in\left[\dfrac{-1+\sqrt{17}}{2};3\right]\)
\(\Leftrightarrow x\in\left[\dfrac{9-\sqrt{17}}{2};9\right]\)
Lời giải:
a.
$A=\frac{3x+15}{(x-3)(x+3)}+\frac{x-3}{(x+3)(x-3)}-\frac{2(x+3)}{(x-3)(x+3)}$
$=\frac{3x+15+(x-3)-2(x+3)}{(x+3)(x-3)}=\frac{2x+6}{(x-3)(x+3)}$
$=\frac{2(x+3)}{(x-3)(x+3)}=\frac{2}{x-3}$
b.
Để $A=\frac{1}{2}$
$\Leftrightarrow \frac{2}{x-3}=\frac{1}{2}$
$\Leftrightarrow x-3=4$
$\Leftrightarrow x=7$ (tm)
3. Which flat is the .... most.... suitable for your family?
4. It's not easy....to find....a comfortable apartment here.
5. This building is ...bigger.... than that one.
6. The new flats are ....the most... comfortable of all.
Ex III:
1. Fruit is ...better than..... candy.
2. Cars are ....faster than.... bicycles.
3. Houses in the city are .....more expensive.... houses in the country.
4. Winter is ....colder than.... summer.
5. HCM City is ....bigger than.... Da Nang.
Ex I :
1. A 2. C
Ex II:
1. D
Ex III :
Ex IV:
1. What a bright room!
2. I have played soccer for 5 years.
3. My school is different from your school.
4. Nick's hobby is carving eggshells.
Homework:
Ex 1:
1. I .....read.... English every evening.
2. They have ....a lot of.... work to do.
3. Let's eat. I'm very ....hungry....
4. My watch is slow and my sister's is, ....too....
5. This is ....our.... new classmate.
6....What.... class are you in ?
7. Our house is near the school. We often go to school on ....foot...
Ex 2:
1. Mr.Lam ....grows...vegetables and ....raises...cattle.
2. This flat is more .....expensive....than that one.