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=>2/2.3+2/3.4+2/4.5+............+2/x.(x+1)=2007/2019
=>2(1/2.3+1/3.4+1/4.5+.......+1/(x+1))=2007/2019
=>2(1/2-1/3+1/3-1/4+1/4-1/5+.....+1/x-1/x+1)=2007/2019
=>2(1/2-1/2x+1)=2007/2019
=>1-2/x+1=2007/2009=>2/x+1=1-2007/2019=12/2019
=>x+1=336,5.Vay x=335,5
\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{2}{x\left(x+1\right)}\)\(=\frac{2007}{2019}\)
\(\frac{2}{6}+\frac{2}{12}+\frac{2}{20}+...+\frac{2}{x\left(x+1\right)}=\frac{2007}{2019}\)
\(2\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{x.\left(x+1\right)}\right)\)\(=\frac{2007}{2019}\)
\(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{x}-\frac{1}{x+1}\)\(=\frac{2007}{2019}\div2\)
\(\frac{1}{2}-\frac{1}{x+1}=\frac{669}{1346}\)
\(\frac{1}{x+1}=\frac{1}{2}-\frac{669}{1346}\)
\(\frac{1}{x+1}=\frac{2}{673}\)
\(\frac{2}{\left(x+1\right)2}=\frac{2}{673}\)
\(\Rightarrow\left(x+1\right)2=673\)
\(\Rightarrow x+1=673\div2\Rightarrow x+1=336,5\Rightarrow x=336,5-1=335,5\)
a) \(\frac{28\times7-45\times7+7\times18}{45\times14}\)
\(=\frac{7\left(28-45+7\right)}{45\times14}\)
\(=\frac{7\times\left(-10\right)}{45\times14}=\frac{-1}{9}\)
b) \(\frac{12.3-2.6}{4.5.6}\)
\(=\frac{2.6.3-2.6}{4.5.6}\)
\(=\frac{2.6\left(3-1\right)}{2.2.5.6}\)
\(=\frac{2.6.2}{2.2.5.6}\)\(=\frac{1}{5}\)
\(\left(2x-1\right)\left(y+3\right)=2\)
\(\Rightarrow2x-1;y+3\inƯ\left(2\right)=\left\{1;2;-1;-2\right\}\)
Ta có bảng sau :
2x-1 | 1 | 2 | -1 | -2 |
y+3 | 2 | 1 | -2 | -1 |
x | 1 | 3/2 | 0 | -1/2 |
y | -1 | -2 | -5 | -4 |
Vậy ko có y mà x = 1
\(B=\left(2017+0,17-3,48\right)\times\left(0,5\times\frac{1}{5}-\frac{3}{10}\right)\)
\(B=\left(2017,17-3,48\right)\times\left(0,1-\frac{3}{10}\right)\)
\(B=2013,69\times0,03\)
\(B=60,4107\)
Mình chỉ biết làm như thế thôi
\(\left(2017+0,17-3,48\right).\left(0,5.\frac{1}{5}-\frac{3}{10}\right)\)
\(=\left(2017+\frac{17}{100}-\frac{348}{100}\right).\left(\frac{5}{10}.\frac{1}{5}-\frac{3}{10}\right)\)
\(=\left(\frac{201700}{100}+\frac{17}{100}-\frac{348}{100}\right).\left(\frac{1}{10}-\frac{3}{10}\right)\)
\(=\frac{201369}{100}.\frac{-2}{10}\)
\(=-402,738\)
`(15-x)+(x-12)=7-(-5+x)`
`=>15-x+x-12=7+5-x`
`=>3=12-x`
`=>x=12-3`
`=>x=9`
Vậy `x=9`
Ta có :\(x^{20}=9.\left(x^2\right)^9\)
\(\Rightarrow x^{20}=9.x^{18}\)
Ta lại có: \(x^{20}=x^{18}.x^2=9.x^{18}\)
\(\Rightarrow x^2=9\)(x^18:x^`8 là =1 ko cần ghi)
\(\Rightarrow x=\sqrt{9}\)
\(\Rightarrow x=\)3 hoặc \(x=\)-3
Vậy: \(x=3;-3\)
=>x+3/2x-3/4=5/6
=>5/2x=19/12
=>x=19/30