3) \(\dfrac{A}{B}>1\)

\(\Leftrightarrow\dfrac{x+2\sqrt{x}}{x-1}:\dfrac{\sqrt{x}+2}{\sqrt{x}\left(\sqrt{x}-1\right)}>1\)

\(\Leftrightarrow\dfrac{x+2\sqrt{x}}{x-1}.\dfrac{\sqrt{x}\left(\sqrt{x}-1\right)}{\sqrt{x}+2}>1\)

\(\Leftrightarrow\dfrac{\sqrt{x}\left(\sqrt{x}+2\right)}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}.\dfrac{\sqrt{x}\left(\sqrt{x}-1\right)}{\sqrt{x}+2}>1\)

\(\Leftrightarrow\dfrac{\sqrt{x}}{\sqrt{x}+1}.\dfrac{\sqrt{x}}{1}>1\)

\(\Leftrightarrow\dfrac{x}{\sqrt{x}+1}-1>0\)

\(\Leftrightarrow\dfrac{x}{\sqrt{x}+1}-\dfrac{\sqrt{x}-1}{\sqrt{x}-1}>0\)

\(\Leftrightarrow x-\sqrt{x}+1>0\)

\(\Leftrightarrow\left(\sqrt{x}-1\right)^2>0\)

\(\Leftrightarrow\sqrt{x}-1>0\)

\(\Leftrightarrow x>1\)

25) \(\dfrac{3x+2}{2}+\dfrac{5-2x}{3}=\dfrac{11}{6}\)

\(\Leftrightarrow\dfrac{9x+6}{6}+\dfrac{10-4x}{6}=\dfrac{11}{6}\)

\(\Leftrightarrow9x+6+10-4x=11\)

\(\Leftrightarrow5x+16=11\)

\(\Leftrightarrow5x=-5\)

\(\Leftrightarrow x=-1\)

26) \(\dfrac{x+2}{4}+\dfrac{2x+3}{3}=\dfrac{x-12}{6}\)

\(\Leftrightarrow\dfrac{3x+6}{12}+\dfrac{8x-12}{12}=\dfrac{2x-24}{12}\)

\(\Leftrightarrow3x+6+8x-12=2x-24\)

\(\Leftrightarrow9x=-18\)

\(\Leftrightarrow x=-2\)

27) \(\dfrac{2x-1}{3}-\dfrac{x-1}{2}+\dfrac{x+1}{6}=1\)

\(\Leftrightarrow\dfrac{4x-2-3x+3+x+1}{6}=1\)

\(\Leftrightarrow4x-2-3x+3+x+1=1\)

\(\Leftrightarrow2x=-1\)

\(x=\dfrac{-1}{2}\)

Bài 1 tính hoành đọo giao điểm

a) y= a² và y= 2x-1
b) y= a² và y= -x+1

72a Report the questions.

1 'Do museums cloes on Sundays?'

=> A young man assked me .................... .

2 'Are you waiting for a tourist bus?'

=> A woman asked me .................... .

3 ' Did the waiter overcharge us?'

=> Two friends asked me .................... .

4 'Will a hotel be expensive?'

=> A couple asked me .................... .

5 'Has the flight from Bristol arrived?'

=> A woman asked me  .................... .

6 'Is there a Bureau de Change nearby?'

=> A man asked me .................... .

7 'Did you hear the platform number?'

=> A man at the station asked me .................... .

8 'Are we going to get a guided tour?'

=> A woman outside the museum asked me .................... .

c)

1 A: What are you doing at the college?

   B: I'm studying Spanish.

2 A: Why did you decide to study Spanish?

   B: Because I want to be a translator.

3 A: What other languages do you speak?

   B: I speak French and German.

4 A: How long have you been at the college?

  B: For three day.

5 A: When do you have classes?

  B: Every morning, from nine to one.

6 A: What are you going to do later on?

  B: I don't have any plans. Why?

This morning I was sitting in a cafe having a coffee, when a guy came and sat next to me and started talking. He asked me where I was form. I told him and then he asked me (1) ............................... I explained and then he asked me (2) ............................... He also asked me (3) ............................... After we had talked a bit about my plans for the future, he asked me (4) ............................... I told him for three days. He asked me (5) ............................... and I said I had classes every morning, from nine to one. Then he asked me (6) ............................... and I said I didn't have any plans.

Bài 1

\(x^2-3mx-m-1\text{6}=0\)

a) CM phương trình có nghiệm với mọi m.

b) Tìm m để PT có ngiệm . Thỏa mãn \(\left(x_1-x_2\right)^2=0\).

Bài 2

\(x^2-x-2m-18=0\)

a) CM phương trình có nghiệm với mọi m.

b) Tìm m PT có nghiệm. TM \(\left(x_1\right)^2+\left(x_2\right)^2=0\).