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12 tháng 12 2023

\(x^2\) - 6\(x\) + 3 = 4y2\(x\); y \(\in\) Z  ⇒ \(x^2\) - 6\(x\) + 3 ⋮ 4

Nếu \(x\) = 2k ⇒ (2k)2 - 6.2k + 3 ⋮ 4 ⇒ 4k2 - 12k + 3 ⋮ 4 ⇒ 3 ⋮ 4(loại)(*)

Nếu \(x\) = 2k + 1 ⇒ (2k + 1)2 - 6(2k + 1) + 3 ⋮ 4  

⇒ 4k2+ 4k +1 - 12k - 6 + 3 ⋮ 4 ⇒ 4k2 - 8k - 2 ⋮ 4 ⇒ 2 ⋮ 4(loại)(**)

Từ (*);(**) ta có không tồn tại \(x;y\) thỏa mãn đề bài. 

 

16 tháng 12 2023

x2nho

AH
Akai Haruma
Giáo viên
11 tháng 12 2023

Lời giải:
$2x^2+3xy-5y^2=(2x^2-2xy)+(5xy-5y^2)$

$=2x(x-y)+5y(x-y)=(x-y)(2x+5y)$

12 tháng 12 2023

41 to

42 off

43 off

44 to

45 from

46 of

47 to

48 for

49 in

50 up

11 tháng 12 2023

4x(x - 2y) - 5(2y - x)

= 4x(x - 2y) + 5(x - 2y)

= (x - 2y)(4x + 5)

11 tháng 12 2023

cứu với :(((((((((

I. Finish the second sentence in such a way that it means exactly the same as the sentence printed before it 1. If the work is finished by lunchtime, you can go home. à Get____________________________________________________________________________ 2. You haven’t done your work, have you? à It’s about_______________________________________________________________________ 3. The fourth time he asked her to marry him, she accepted. à Only on his...
Đọc tiếp

I. Finish the second sentence in such a way that it means exactly the same as the sentence printed before it

1. If the work is finished by lunchtime, you can go home.

à Get____________________________________________________________________________

2. You haven’t done your work, have you?

à It’s about_______________________________________________________________________

3. The fourth time he asked her to marry him, she accepted.

à Only on his _____________________________________________________________________

4. He said that he had won as a result of good luck.

à He attributed____________________________________________________________________

5. That reminds me of the time I climbed to the top of Mount Fuji.                

à That takes me____________________________________________________________________

6. People rumour that he is rich but stingy.

à What___________________________________________________________________________

7. Such a ridiculous proposal isn’t worth serious consideration.

à There is_________________________________________________________________________

8. Just thinking about his face at that moment makes me laugh.

à The very_________________________________________________________________________

9.We cannot see animals in a vast area after the forest fire.                  

à There is an_______________________________________________________________________

10.The staff hated Frank’s new policies so intensely that they went on strike.

à So intense _______________________________________________________________________

1
13 tháng 12 2023

1. If the work is finished by lunchtime, you can go home.

à Get__________home when the work is finished by lunchtime __________________________________________________________________

2. You haven’t done your work, have you?

à It’s about________time you did your work_______________________________________________________________

3. The fourth time he asked her to marry him, she accepted.

à Only on his ________fourth proposal did she accept him_____________________________________________________________

4. He said that he had won as a result of good luck.

à He attributed___________ his success to good luck_________________________________________________________

5. That reminds me of the time I climbed to the top of Mount Fuji.                

à That takes me_________ back to the time I climbed to the top of Mount Fuji__________________________________________________________

6. People rumour that he is rich but stingy.

à What______people rumour is that he is rich but stingy _____________________________________________________________________

7. Such a ridiculous proposal isn’t worth serious consideration.

à There is____________ no point in considering such a ridiculous proposal seriously.

_____________________________________________________________

8. Just thinking about his face at that moment makes me laugh.

à The very_____ thought of his face at that moment makes me laugh____________________________________________________________________

9.We cannot see animals in a vast area after the forest fire.                  

à There is an_________ absence of animal in vast area after the forest fire______________________________________________________________

10.The staff hated Frank’s new policies so intensely that they went on strike.

à So intense _________was the hatred for Frank's new policies that they went on strike ______________________________________________________________