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120/{54-[50/2-(3^2-2*4)]}
120/{54-[50/2-(9-8)]}
120/{54-[25-1]}
120/{54-24}
120/30
4
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1)\(25x+3\left(4-6x\right)=50\)
\(25x+12-18x=50\)
\(7x+12=50\)
\(7x=38\)
\(x=\frac{38}{7}\)
2)\(4\left(2x+3\right)+2\left(3x+1\right)=120\)
\(8x+12+6x+2=120\)
\(14x+14=120\)
\(14x=106\)
\(x=\frac{53}{7}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\frac{1}{1x3}+\frac{1}{3x5}+\frac{1}{5x7}+...+\frac{1}{2007x2009}\)
\(=\frac{1}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{2007}-\frac{1}{2009}\right)\)
\(=\frac{1}{2}.\left(1-\frac{1}{2009}\right)=\frac{1}{2}\cdot\frac{2008}{2009}=\frac{1004}{2009}\)
....
các bài cn lại bn lm tương tự nha
b, \(\dfrac{1}{18}+\dfrac{1}{54}+\dfrac{1}{108}+...+\dfrac{1}{990}\)
3A = \(\dfrac{1}{6}+\dfrac{1}{18}+...+\dfrac{1}{330}\)
3A-A = \(\dfrac{1}{6}-\dfrac{1}{990}\)
2A = 82/495
A =82/495 : 2
A=41/495
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Mình kiểm tra lại rồi ko sai nhưng bạn chỉ làm mỗi câu b thôi cũng đc
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\(\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+...+\frac{1}{100^2}=\frac{1}{2.2}+\frac{1}{3.3}+\frac{1}{4.4}+...+\frac{1}{100.100}\)
\(< \frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{99.100}=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\)
\(=1-\frac{1}{100}< 1\)(ĐPCM)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(x-43=\left(57+2x\right)-50\)
\(x-2x=57-50+43\)
\(-x=50\)
\(x=-50\)
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a) -15/90=-5/30=1/6
120/600=12/60=4/20=1/5
-75/150=-15/30=-5/10=-1/2
b)54/-90=6/-10=3/-5
-180/288=-90/144=-10/16=-5/8
60/-135=20/-45=4/-9
![](https://rs.olm.vn/images/avt/0.png?1311)
TL :
120 : 54 - [ 50 : 2 - 32 - 2 x 4 ]
120 : 54 - [ 50 : 2 - 9 - 8 ]
120 : 54 - [ 25 - 1 ]
120 : 54 - 24
120 : 30
4