chuyển thành dạng unless, nhanh nhanh hộ nhá
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Gọi thời gian làm riêng để hoàn thành công việc tổ 1 ; 2 lần lượt là a ; b ( a ; b > 0 )
Theo bài ra ta có hệ \(\left\{{}\begin{matrix}\dfrac{1}{a}+\dfrac{1}{b}=\dfrac{1}{12}\\\dfrac{9}{a}+\dfrac{1}{2}.\dfrac{10}{b}+\dfrac{9}{b}=1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\dfrac{1}{a}=\dfrac{1}{30}\\\dfrac{1}{b}=\dfrac{1}{20}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=30\\b=20\end{matrix}\right.\)(tm)
Vậy ...
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Đặt A=\(\dfrac{1}{11}\)+\(\dfrac{1}{12}\)+\(\dfrac{1}{13}\)+...\(\dfrac{1}{69}\)+\(\dfrac{1}{70}\)
=(\(\dfrac{1}{11}\)+\(\dfrac{1}{12}\)+\(\dfrac{1}{13}\)+...\(\dfrac{1}{19}\)+\(\dfrac{1}{20}\))+(\(\dfrac{1}{21}\)+\(\dfrac{1}{22}\)+\(\dfrac{1}{23}\)+...+\(\dfrac{1}{29}\)+\(\dfrac{1}{30}\))+(\(\dfrac{1}{31}\)+\(\dfrac{1}{32}\)+\(\dfrac{1}{33}\)+...+\(\dfrac{1}{59}\)+\(\dfrac{1}{60}\))+...+\(\dfrac{1}{70}\)
Nhận xét:
\(\dfrac{1}{11}\)+\(\dfrac{1}{12}\)+\(\dfrac{1}{13}\)+...+\(\dfrac{1}{19}\)+\(\dfrac{1}{20}\)>\(\dfrac{1}{20}\)+\(\dfrac{1}{20}\)+...+\(\dfrac{1}{20}\)=\(\dfrac{10}{20}\)=\(\dfrac{1}{2}\)
\(\dfrac{1}{21}\)+\(\dfrac{1}{22}\)+\(\dfrac{1}{23}\)+...+\(\dfrac{1}{29}\)+\(\dfrac{1}{30}\)>\(\dfrac{1}{30}\)+\(\dfrac{1}{30}\)+...+\(\dfrac{1}{30}\)=\(\dfrac{10}{30}\)=\(\dfrac{1}{3}\)
\(\dfrac{1}{31}\)+\(\dfrac{1}{32}\)+\(\dfrac{1}{33}\)+...+\(\dfrac{1}{59}\)+\(\dfrac{1}{60}\)>\(\dfrac{1}{60}\)+\(\dfrac{1}{60}\)+...+\(\dfrac{1}{60}\)=\(\dfrac{30}{60}\)=\(\dfrac{1}{2}\)
=>A>\(\dfrac{1}{2}\)+\(\dfrac{1}{3}\)+\(\dfrac{1}{2}\)+\(\dfrac{1}{61}\)+...+\(\dfrac{1}{69}\)+\(\dfrac{1}{70}\)>\(\dfrac{1}{2}\)+\(\dfrac{1}{3}\)+\(\dfrac{1}{2}\)=\(\dfrac{4}{3}\)
=>A>\(\dfrac{4}{3}\)
Vậy: \(\dfrac{1}{11}\)+\(\dfrac{1}{12}\)+\(\dfrac{1}{13}\)+...+\(\dfrac{1}{69}\)+\(\dfrac{1}{70}\)>\(\dfrac{4}{3}\) (ĐPCM)
Thấy đúng cho 1 tick và 1 follow nha!
Chúc bạn học tốt!
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(x+1)+(x+2)+...x+28=155
=> x + 1 + x + 2 + ... + x + 28 =155
=> 28x + (1 + 2 + 3 + ... + 28) =155
=> 28x + 28.(28+1):2 = 155
=> 28x + 406 = 155
=> 28x = 155 - 406 = -251
=> x = -251/28
Ta có:
(x+1)+(x+2)+...x+28=155
<=> x + 1 + x + 2 + ... + x + 28 =155
<=> 28x + (1 + 2 + 3 + ... + 28) =155
<=> 28x + 28.(28+1):2 = 155
<=> 28x + 406 = 155
<=> 28x = 155 - 406 = -251
=> x = \(-\frac{251}{28}\)
hok tốt
![](https://rs.olm.vn/images/avt/0.png?1311)
ys em là j sao chị hk hỉu
5 ko phải là hỗn số
2/10 + 7 cũng vậy
cả 1/10
\(5\frac{2}{10}+7\frac{1}{10}=\frac{52}{10}+\frac{71}{10}=\frac{123}{10}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{456}{100}\)+\(\frac{344}{100}\)
=\(\frac{456+344}{100}\)
=\(\frac{800}{100}\)
=8
tk nhé
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[(x+1)/2]2=26/25-17/25=9/25
=> (x+1)/2=3/5 => x=1/5 hoặc x=-11/5
hoặc (x+1)/2=-3/5
Đề vầy đúng không :
( x+1/2)^2 + 17/25 = 26 / 25
(x+1/2)^2=26/25-17/25
(x+1/2)^2=9/25
=> x+1/2=3/5
=> x = 3/5-1/2=1/10
![](https://rs.olm.vn/images/avt/0.png?1311)
17 + (x - 7) + 2(2x + 1) = 17
<=> x - 7 + 2(2x + 1) = 17 - 17
<=> x - 7 + 2(2x + 1) = 0
<=> x + 2(2x + 1) = 0 + 7
<=> x + 2(2x + 1) = 7
<=> x + 4x + 1 = 7
<=> 5x + 2 = 7
<=> 5x = 7 - 2
<=> 5x = 5
=> x = 1
\(17+\left(x-7\right)+2\left(2x+1\right)=17\)
\(\Rightarrow x-7+4x+2=0\)
\(\Rightarrow5\left(x-1\right)=0\)
\(\Rightarrow x-1=0\)
\(\Rightarrow x=1\)