\(\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}}=1\left(x\ge1\right)\\ \Leftrightarrow\sqrt{\left(\sqrt{x-1}-4\right)^2}+\sqrt{\left(\sqrt{x-1}-3\right)^2}=1\\ \Leftrightarrow\sqrt{x-1}-4+\sqrt{x-1}-3=1\\ \Leftrightarrow2\sqrt{x-1}=8\\ \Leftrightarrow\sqrt{x-1}=4\\ \Leftrightarrow x-1=16\Leftrightarrow x=17\left(TM\right)\)

1. The sun shone so brightly that Maria had to put on her sunglasses.

2. He was such a powerful swimmer that he always won the race.

3. There were so few students registered that the class was cancelled.

4. The house was so beautiful that I took picture of it.

5. This coffee is so trong that I can't drink it.

6. This is such a good film that I want to see it again and again.

7. There was so much food that everyone ate too much.

8. The were so much guest that there wasn't enough food.

9. I ate so much sandwiches that I felt unseasy.

10. David has so much work to do that he can't come tonight

4. I spend less money on clothes than she does

5. How about going out for a walk along the beach tonight?

\(1,A=\dfrac{1}{\sqrt{x}+2}+\dfrac{1}{x-\sqrt{x}+6}-\dfrac{\sqrt{x}-2}{3-\sqrt{x}}\left(x\ge0;x\ne9\right)\\ A=\dfrac{\sqrt{x}-3+1+\left(\sqrt{x}-2\right)^2}{\left(\sqrt{x}+2\right)\left(\sqrt{x}-3\right)}\\ A=\dfrac{\sqrt{x}-2+x-4\sqrt{x}+4}{\left(\sqrt{x}+2\right)\left(\sqrt{x}-3\right)}\\ A=\dfrac{x-3\sqrt{x}+2}{\left(\sqrt{x}+2\right)\left(\sqrt{x}-3\right)}\\ A=\dfrac{\left(\sqrt{x}-1\right)\left(\sqrt{x}-2\right)}{\left(\sqrt{x}+2\right)\left(\sqrt{x}-3\right)}\)

\(2,\) Ta có \(\left\{{}\begin{matrix}\left(\sqrt{x}-1\right)\left(\sqrt{x}-2\right)\ge\left(0-1\right)\left(0-2\right)=2\\\left(\sqrt{x}+2\right)\left(\sqrt{x}-3\right)\ge\left(0+2\right)\left(0-3\right)=-6\end{matrix}\right.\)

\(\Rightarrow A=\dfrac{\left(\sqrt{x}-1\right)\left(\sqrt{x}-2\right)}{\left(\sqrt{x}+2\right)\left(\sqrt{x}-3\right)}\ge-\dfrac{2}{6}=-\dfrac{1}{3}\)

Vậy GTNN của \(A\) là \(-\dfrac{1}{3}\)

Dấu \("="\Leftrightarrow x=0\)

1. ate

2. A: Does Helen drive to work?

B: Yes, she does

1.turned down

2.going on

3.get over

4,cheered up

5,turn back

6,found out

1,down

2,with

3,off

4,up

5,on

6,up

7,up

8,in

9,of

10,on

11,up

12,out

13,on

14,on

15,up

\(1,A\\ 2,B\\ 3,C\\ 4,A\\ 5,A\\ 6,C\\ 7,B\\ 8,A\)

\(1,B\\ 2,B\\ 3,D\\ 4,D\\ 5,C\\ 6,B\\ 7,C\\ 8,A\\ 9,B\\ 10,B\)

1. harder and harder

2. more and more confuse

3. more and more difficult

4. more and more complicated

5. much more and more

6. longer and longer

7. worse and worse

8. closer and closer

9. more and more expensive

10. better and better