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\(\dfrac{4}{7}+\dfrac{2}{9}+\dfrac{1}{4}+\dfrac{3}{7}+\dfrac{7}{9}+\dfrac{75}{100}\\ =\dfrac{4}{7}+\dfrac{2}{9}+\dfrac{1}{4}+\dfrac{3}{7}+\dfrac{7}{9}+\dfrac{3}{4}\\ =\left(\dfrac{4}{7}+\dfrac{3}{7}\right)+\left(\dfrac{2}{9}+\dfrac{7}{9}\right)+\left(\dfrac{1}{4}+\dfrac{3}{4}\right)\\ =\dfrac{7}{7}+\dfrac{9}{9}+\dfrac{4}{4}\\ =1+1+1\\ =3\)

Ta có: \(\dfrac{7}{11}=\dfrac{7\times3}{11\times3}=\dfrac{21}{33};\dfrac{8}{11}=\dfrac{8\times3}{11\times3}=\dfrac{24}{33}\)

2 phân số giữa là: \(\dfrac{22}{33};\dfrac{23}{33}\)

\(=\left(\dfrac{4}{7}+\dfrac{3}{7}\right)+\left(\dfrac{2}{9}+\dfrac{7}{9}\right)+\left(\dfrac{1}{4}+\dfrac{3}{4}\right)=1+1+1=3\)

(\(\dfrac{4}{7}\)+\(\dfrac{3}{7}\))+(\(\dfrac{2}{9}\)+\(\dfrac{7}{9}\))+(\(\dfrac{1}{4}\)+\(\dfrac{75}{100}\))

=1+1+1

=3

1 There are 5000 living languages in the world

2 It is Chinese

3 It is English

4 Yes, because I think English is interesting

V

1 He used to play the guitar at night

2 She wishes she had a pen pal

3 We started learning E 4 years ago

4 How long have you had that car

Task 2: 

1. T

2. T

3. F

4. T

5. F

Task 4:

1. F

2. T

3. F

4. T

1 Nam said that he came from Thanh Hoa city

2 Mr Cuong asked me if I liked pop music

3 Although the weather was bad, we visited Bat Trang village

4 Because it was raining, they cancelled the trip to Trang An

5 We have to try harder so that our handicrafts can keep up with theirs

6 She grew up in Thanh Hoa city

II

1 Eventhough it was very cold out, we decided to go for a walk

2 Mai studied hard for the exam so that she could have good marks

1. nam said that he  came from Thanh Hoa city.

2.Mr. Cuong asked if I liked pop music

3. although the weather was bad, we visited bat Trang village

Bài 2: 

a: =>168x+20=6x-21

=>162x=-41

hay x=-41/162

b: \(\Leftrightarrow2\left(3x-8\right)=3\left(5-x\right)\)

=>6x-16=15-3x

=>9x=31

hay x=31/9

c: \(\Leftrightarrow4\left(x^2+8x-20\right)-\left(x+4\right)\left(x+10\right)=3\left(x^2+2x-8\right)\)

\(\Leftrightarrow4x^2+32x-80-x^2-14x-40-3x^2-6x+24=0\)

=>12x-96=0

hay x=8

Đặt\(\begin{cases} x+y=S \\ xy=P \end{cases}\)

Ta có:\(\begin{cases} S-2P=0 \\ S-P^2=\sqrt{(P-1)^2+1} \end{cases}\)

\(\Leftrightarrow\)\(\begin{cases} S=2P \\ 2P-P^2=\sqrt{(P-1)^2+1} \end{cases}\)

\(\Leftrightarrow\)\(\begin{cases} S=2P \\ (2P-P^2)^2=(P-1)^2+1 \end{cases}\)

\(\Leftrightarrow\)\(\begin{cases} S=2P \\ 4P^2-4P^3+P^4=P^2-2P+2 \end{cases}\)

\(\Leftrightarrow\)\(\begin{cases} S=2P \\ P^4-4P^3+3P^2+2P-2=0 \end{cases}\)

\(\Leftrightarrow\)\(\begin{cases} S =2+2\sqrt{3}\\ P=1+\sqrt{3} \end{cases}\)(1)hoặc\(\begin{cases} S=2 \\ P=1 \end{cases}\)(2)hoặc\(\begin{cases} S=2-2 \sqrt{3}\\ P=1-\sqrt{3} \end{cases}\)(3)

Còn lại là thay vào biểu thức x²-Sx+P=0 thôi