Giúp hộ nữa nhe
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Giả sử phân số \(\dfrac{n-4}{3n-11}\) không là phân số tối giản với \(n\) nguyên.
Khi đó, tồn tại số \(k\) nguyên khác 0 sao cho: \(n-4=k\left(3n-11\right)\)
\(\Leftrightarrow n-4=3nk-11k\)
\(\Leftrightarrow n-3nk=4-11k\)
\(\Leftrightarrow\left(1-3k\right)n=4-11k\)
\(\Leftrightarrow n=\dfrac{4-11k}{1-3k}\Leftrightarrow3n=\dfrac{12-33k}{1-3k}\)
Do \(n\in Z\Rightarrow3n\in Z\Rightarrow\dfrac{12-33k}{1-3k}\in Z\).
Ta có: \(\dfrac{12-33k}{1-3k}=\dfrac{11\left(1-3k\right)+1}{1-3k}=11+\dfrac{1}{1-3k}\in Z\).
Khi đó: \(\left(1-3k\right)\inƯ\left(1\right)=\left\{\pm1\right\}\)
\(\Rightarrow\left[{}\begin{matrix}1-3k=1\\1-3k=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}k=0\left(loại\right)\\k=\dfrac{2}{3}\left(loại\right)\end{matrix}\right.\)
Từ đây, ta thấy không có giá trị \(k\) thỏa mãn, trái với giả thiết ban đầu.
Vậy: \(\dfrac{n-4}{3n-11}\) tối giản với mọi số nguyên \(n\) (đpcm).
Mình làm với ví dụ khác được không? Mình nghĩ ko nên làm đúng bài ý tại vì nên xem một ví dụ khác rồi vận dụng làm theo hiệu quả hơn ý. Được ko bạn?
\(\left|2x+7\right|-\dfrac{1}{2}=4\)
\(\Rightarrow\left|2x+7\right|=\dfrac{9}{2}\)
\(\Rightarrow\left[{}\begin{matrix}2x+7=\dfrac{9}{2}\\2x+7=-\dfrac{9}{2}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x=-\dfrac{5}{2}\\2x=-\dfrac{23}{2}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=-\dfrac{5}{4}\\x=-\dfrac{23}{4}\end{matrix}\right.\)
Vậy: \(x\in\left\{-\dfrac{5}{4};-\dfrac{23}{4}\right\}\).
196,1834x927,628=?
giúp mình nữa nhé khó quá ko biết!
Lẹ nhe kêu cô!!!
Đáp án :
181985.214975
\(HT\)
31 A. on B. at C. in D. under
32 A. take place B. take on C. happens D. occurs
33. A. a big B. a bigger C. the biggest D. biggest
34. A. painting B. photo C. image D. portrait
35. A. signal B. symbol C. sign D. scene
A. Read the text and then choose the best answer to complete the passage:
Communal House (Rong House)
The Rong House can only be found in villages to the north of the Central Highlands, especially in Gia Lai and Kon Tum provinces. It is a large, imposing, beautifully decorated stilt house built (31)__________ the middle of the village. It is where community activities (32)__________, meetings, wedding ceremonies, or praying ceremonies. It is also the place for reception of guests. The Rong House of each ethnic group has its own architectural style, design, and décor. Yet there are shared features . In the village, it is often (33)_________ house roofed with yellow-dried thatch leaves and having 8 big wood columns. The rafters are decorated with patterns of bright colours, depicting religious scenes, legendary stories about ancient heroes, stylized animals, and other familiar things of the village life. The most distinction of the décor of the Rong House is the (34)_________ of the brilliant God of Sun. The Rong House is a (35)__________ of the culture of Central Highlanders, an age-old and stable culture. The bigger the house, the wealthier the village is. It is a pride of the whole village.
31 A. on B. at C. in D. under
32 A. take place B. take on C. happens D. occurs
33. A. a big B. a bigger C. the biggest D. biggest
34. A. painting B. photo C. image D. portrait
35. A. signal B. symbol C. sign D. scene
8 will do
9 will buy
10 won't watch
11 are going to get
12 will be
13 will help
14 Are you going - am going
15 will
16 are you going to buy
17 Will - will