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31 tháng 7 2021

1. was made

2. have been taken

3. is visited

4. is being painted

5. will be given

6. must be kept

7. was being moved

8. had cancelled

9. were blown

10. was published

11. has been translated

12. to have escaped

13. taken

14. repaired

15. to wait

16. keeping

17. to be

18. will be shown

19. washed

20. being told

Ta có: \(\dfrac{3+\sqrt{5}}{\sqrt{2}+\sqrt{3+\sqrt{5}}}-\dfrac{3-\sqrt{5}}{\sqrt{2}-\sqrt{3-\sqrt{5}}}\)

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

\(=\dfrac{6+2\sqrt{5}}{2\sqrt{2}+\sqrt{10}+\sqrt{2}}-\dfrac{6-2\sqrt{5}}{2\sqrt{2}-\sqrt{10}+\sqrt{2}}\)

\(=\dfrac{6+2\sqrt{5}}{3\sqrt{2}+\sqrt{10}}-\dfrac{6-2\sqrt{5}}{3\sqrt{2}-\sqrt{10}}\)

\(=\dfrac{\left(6+2\sqrt{5}\right)\left(3\sqrt{2}-\sqrt{10}\right)-\left(6-2\sqrt{5}\right)\left(3\sqrt{2}+\sqrt{10}\right)}{8}\)

\(=\dfrac{18\sqrt{2}-6\sqrt{10}+6\sqrt{10}-10\sqrt{2}-18\sqrt{2}-6\sqrt{10}+6\sqrt{10}+10\sqrt{2}}{8}\)

\(=0\)

7 tháng 6 2021

`a)m=2`

`pt<=>x^2-4x+4-1=0`

`<=>x^2-4x+3=0`

`Delta'=4-3=1`

`<=>x_1=1.x_2=3`

Vậy `m=2` thì `S={1,3}`

`b)Delta'=m^2-(m^2-1)`

`=m^2-m^2+1=1>0`

`=>` pt có 2 nghiệm pb `AAm`

`c)Delta'=1`

`<=>x_1=(-b'+sqrtDelta')/a=m+1,x_2=(-b'-sqrtDelta')/a=m-1`

`=>x_1-x_2`

`=m+1-m+1=2`

1: Xét tứ giác BCEF có 

\(\widehat{BFC}=\widehat{BEC}=90^0\)

Do đó: BCEF là tứ giác nội tiếp