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(1+x)+(2+x)+(3+x)+...+(10+x)=75
x*10+(1+2+3+...+10) =75
x*10+55 =75
x*10 =75-55
x*10 =20
x =20:10
x =2
vậy x=2
Nhận xét : Số số hạng từ 1 đến 10 bằng số số x
Số số hạng từ 1 đến 10 là : (10-1):1+1=10 (số)
=> Có 10 số x
Ta có : (1+x)+(2+x)+(3+x)+...+(10+x)=75
=> (1+2+3+...+10)+(x+x+x+...+x)=75
=> (1+10).10:2+10.x=75
=> 55+10.x=75
=> 10.x=20
=> x=2
Vậy x=2
Hãy tk và kết pn vs mik nha !!!
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\(\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{\left(2x+1\right).\left(2x+3\right)}=\frac{15}{93}\)
\(2.\left(\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{\left(2x+1\right).\left(2x+3\right)}\right)=2.\frac{15}{93}\)
\(\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{\left(2x+1\right).\left(2x+3\right)}=\frac{30}{93}\)
\(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{2x+1}-\frac{1}{2x+3}=\frac{10}{31}\)
\(\frac{1}{3}-\frac{1}{2x+3}=\frac{10}{31}\)
\(\frac{1}{2x+3}=\frac{1}{3}-\frac{10}{31}\)
\(\frac{1}{2x+3}=\frac{1}{93}\)
=> 2x + 3 = 93
=> 2x = 93 - 3
=> 2x = 90
=> x = 90 : 2
=> x = 45
Vậy x = 45
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\(a,\frac{1}{2}x+\frac{3}{5}\left(x-2\right)=3\)
\(\Rightarrow\frac{1}{2}x+\frac{3}{5}x-\frac{6}{5}=3\)
\(\Rightarrow x\left(\frac{1}{2}+\frac{3}{5}\right)=3+\frac{6}{5}\)
\(\Rightarrow\frac{11}{10}x=\frac{21}{5}\)
\(\Rightarrow x=\frac{21}{5}:\frac{11}{10}\)
\(\Rightarrow x=\frac{42}{11}\)
\(b,\left(3\frac{1}{2}-x\right).1\frac{1}{4}=-1\frac{1}{20}\)
\(\Rightarrow\left(\frac{7}{2}-x\right)\cdot\frac{5}{4}=-\frac{21}{20}\)
\(\Rightarrow\frac{7}{2}-x=-\frac{21}{20}:\frac{5}{4}\)
\(\Rightarrow\frac{7}{2}-x=-\frac{21}{25}\)
\(\Rightarrow x=\frac{7}{2}--\frac{21}{25}\)
\(\Rightarrow x=\frac{7}{2}+\frac{21}{25}\)
\(\Rightarrow x=\frac{217}{50}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\Rightarrow2^x\times\left(2^0+2^1+2^2+2^3\right)=480\)
\(\Rightarrow2^x\times15=480\)
\(\Rightarrow2^x=32\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
TA có
480=\(2^5+2^6+2^7+2^8\)
\(x+x+1+x+2+x+3=5+6+7+8\)
\(4x+6=26\)
\(x=5\)
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a,x- 2/3= -1/2
x= -1/2 + 2/3
x= 1/6
b,20%.x - x +1/5 =3/4
1/5.x - x +1/5 = 3/4
1/5.x-x =3/4 - 1/5
x.(1/5 - 1)=11/20
x.-4/5 =11/20
x=11/20 : -4/5=-11/16
a) \(x-\frac{2}{3}=-\frac{1}{2}\)
\(\Leftrightarrow x=\frac{2}{3}-\frac{1}{2}\)
\(\Leftrightarrow x=\frac{1}{6}\)
b) \(20\%x-x+\frac{1}{5}=\frac{3}{4}\)
\(\Leftrightarrow\frac{1}{5}x-x=\frac{3}{4}-\frac{1}{5}\)
\(\Leftrightarrow-\frac{4}{5}x=\frac{11}{5}\)
\(\Leftrightarrow x=\frac{11}{5}:\left(-\frac{4}{5}\right)\)
\(\Leftrightarrow x=-\frac{11}{4}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
A, \(2\frac{2}{5}\left(\frac{1}{2}x-0,75\right)=\frac{3}{10}\)
\(=>\frac{2.5+2}{5}\left(\frac{1}{2}x-\frac{3}{4}\right)=\frac{3}{10}\)
\(=>\frac{1}{2}x-\frac{3}{4}=\frac{3}{10}:\frac{12}{5}=\frac{1}{8}\)
\(=>x=\left(\frac{1}{8}+\frac{3}{4}\right):\frac{1}{2}\)
\(=>x=\frac{7}{4}\)
B, \(\frac{3}{5}-|x-\frac{1}{2}|=25\%\)
\(=>|x-\frac{1}{2}|=\frac{3}{5}-\frac{1}{4}\)
\(=>|x-\frac{1}{2}|=\frac{7}{20}\)
\(=>x-\frac{1}{2}=\frac{7}{20};-\frac{7}{20}\)
TH1: \(x-\frac{1}{2}=\frac{7}{20}=>x=\frac{17}{20}\)
TH2: \(x-\frac{1}{2}=-\frac{7}{20}=>x=\frac{3}{20}\)
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1+2+3+...+x=66
\(\frac{x-1}{1}+1=x\)
\(\frac{\left(1+x\right).x}{2}=66\)
(1+x)x=66.2
(1+x)x=132
=> x=11
x = 11 là kết quả đúng.
cách làm thỳ mình hông bít .....
sorry...