tìm x, nguyên biết x2-6x+3=4y2
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Lời giải:
$2x^2+3xy-5y^2=(2x^2-2xy)+(5xy-5y^2)$
$=2x(x-y)+5y(x-y)=(x-y)(2x+5y)$
4x(x - 2y) - 5(2y - x)
= 4x(x - 2y) + 5(x - 2y)
= (x - 2y)(4x + 5)
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 ______________________________________________________________
\(x^2\) - 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.
x2nho