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Bài 6:

a: \(x=\left(2\sqrt3+4\right)\left(4-2\sqrt3\right)=16-12=4\)

Thay x=4 vào E, ta được:

\(E=\frac{2+1}{2}=\frac32\)

b: \(G=\frac{\sqrt{x}+2}{x+2\sqrt{x}+1}-\frac{\sqrt{x}-2}{x-1}\)

\(=\frac{\sqrt{x}+2}{\left(\sqrt{x}+1\right)^2}-\frac{\sqrt{x}-2}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\)

\(=\frac{\left(\sqrt{x}+2\right)\left(\sqrt{x}-1\right)-\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}{\left(\sqrt{x}+1\right)^2\cdot\left(\sqrt{x}-1\right)}\)

\(=\frac{x+\sqrt{x}-2-\left(x-\sqrt{x}-2\right)}{\left(\sqrt{x}+1\right)^2\cdot\left(\sqrt{x}-1\right)}=\frac{2\sqrt{x}}{\left.\left(\sqrt{x}+1\right)^2\cdot\left(\sqrt{x}-1\right)\right.}\)

A=E*G

\(=\frac{\sqrt{x}+1}{\sqrt{x}}\cdot\frac{2\sqrt{x}}{\left(\sqrt{x}+1\right)^2\left(\sqrt{x}-1\right)}=\frac{2}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}=\frac{2}{x-1}\)

c: |A+1|>A+1

=>A+1<0

=>\(\frac{2}{x-1}+1<0\)

=>\(\frac{2+x-1}{x-1}<0\)

=>\(\frac{x+1}{x-1}<0\)

=>x-1<0

=>x<1

=>0<x<1

16 tháng 7 2021
ext-9bosssssssssssssssss
18 tháng 2 2021

1) Vì x=25 thỏa mãn ĐKXĐ nên Thay x=25 vào biểu thức \(A=\dfrac{\sqrt{x}-2}{x+1}\), ta được:

\(A=\dfrac{\sqrt{25}-2}{25+1}=\dfrac{5-2}{25+1}=\dfrac{3}{26}\)

Vậy: Khi x=25 thì \(A=\dfrac{3}{26}\)

2) Ta có: \(B=\dfrac{\sqrt{x}-3}{\sqrt{x}+1}+\dfrac{2x+8\sqrt{x}-6}{x-\sqrt{x}-2}\)

\(=\dfrac{\left(\sqrt{x}-3\right)\left(\sqrt{x}-2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}+\dfrac{2x+8\sqrt{x}-6}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}\)

\(=\dfrac{x-5\sqrt{x}+6+2x+8\sqrt{x}-6}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}\)

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

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

\(=\dfrac{3\sqrt{x}}{\sqrt{x}-2}\)

11 tháng 5 2021

câu 3 chứ

9 tháng 7 2021

1 She failed to do everything she was supposed to do

2 There is no likelihood that anyone will apply for this post

3 He succeeded in finishing the English test in time

4 There is no likelihood that the situation will improve in the near future

5 There is a chance that you will get what you want there

6 Don't check your answers before answering all the questions

7 I won't give an opinion before thinking this through

8 The judge will decide after hearing all the evidence

9  I won't be able to have a holiday until I save enough money

10 There is little likelihood that my sister will win the first prize in the singing contest

11 He made no reference of his new job when I last spoke to him

9 tháng 7 2021

1 She failed to do everything she was supposed to do

2 There is no likelihood that anyone will apply for this post

3 He succeeded in finishing the English test in time

4 There is no likelihood that the situation will improve in the near future

5 There is a chance that you will get what you want there

6 Don't check your answers before answering all the questions

7 I won't give an opinion before thinking this through

8 The judge will decide after hearing all the evidence

9  I won't be able to have a holiday until I save enough money

10 There is little likelihood that my sister will win the first prize in the singing contest

11 He made no reference of his new job when I last spoke to him

7 tháng 10 2021

Câu 16: A

Câu 14: C

Câu 12: A

24 tháng 12 2021

1: Xét (O) có

DC là tiếp tuyến

DA là tiếp tuyến

Do đó: DC=DA

Xét (O) có

EC là tiếp tuyến

EB là tiếp tuyến

Do đó: EC=EB

Ta có: DC+EC=DE

nên DE=AC+EB

6 tháng 7 2021

mình làm những bài bn chưa lm nhé

9B

10A

bài 2

have repainted

bàii 3

ride - walikking

swimming

watch

6 tháng 7 2021

Dù sao cũng cảm ơn bạn 🥰