\(\dfrac{1}{x+1}-\dfrac{1}{x}\)
TRA LOI NHANH LEN
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TD
2
28 tháng 3 2017
\(\dfrac{5}{7}x-x=1\dfrac{1}{7}\\ < =>\dfrac{5}{7}x-x=\dfrac{8}{7}\\ < =>\left(\dfrac{5}{7}-\dfrac{7}{7}\right)x=\dfrac{8}{7}\\ < =>-\dfrac{2}{7}x=\dfrac{8}{7}\\ =>x=\dfrac{\dfrac{8}{7}}{-\dfrac{2}{7}}=-4\)
NT
1
DN
23 tháng 12 2021
\(\left[{}\begin{matrix}\dfrac{x}{3}-\dfrac{12}{x}=0\\5:x-1=0\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=\dfrac{x^2-36}{3x}=0\\\dfrac{5}{x}=1\end{matrix}\right.\)
\(\left[{}\begin{matrix}=>x=6và\left(-6\right)\\=>x=5\end{matrix}\right.\)
TM
2
TN
28 tháng 7 2017
\(\sqrt{4x-20}\)- 3\(\sqrt{\dfrac{x-5}{9}}\)=2
= \(\sqrt{4x-4.5}\)-3\(\sqrt{\dfrac{x-5}{9}}\)=2
= 2.2\(\sqrt{x-5}\)-3.9\(\sqrt{x-5}\)=2
= -23\(\sqrt{x-5}\)=2
= -23.x-5=2
=-23x=2+5
-23x =7
x =\(\dfrac{-7}{23}\)
x= -0.3
26 tháng 3 2018
A=n/n+1=(n+1)-1/n+1=n+1/n+1 -1/n+1
=1-1/n+1
de n chia het cho n+1
=)1 chia het cho n+1
=)n+1 thuoc Ư(1)
n+1 1 -1
n 0 -2
vay n =0;n=-2
19 tháng 10 2021
\(a,\Leftrightarrow\left[{}\begin{matrix}-\dfrac{4}{3}x+\dfrac{1}{2}=\dfrac{1}{2}\\-\dfrac{4}{3}x+\dfrac{1}{2}=-\dfrac{1}{2}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{3}{4}\end{matrix}\right.\\ c,\Leftrightarrow\left(\dfrac{1}{2}\right)^x\left(1+\dfrac{1}{4}\right)=\dfrac{5}{4}\\ \Leftrightarrow\left(\dfrac{1}{2}\right)^x=1\Leftrightarrow x=0\)
19 tháng 10 2021
b: Ta có: \(3^x+3^{x+2}=20\)
\(\Leftrightarrow3^x\cdot10=20\)
\(\Leftrightarrow3^x=2\left(loại\right)\)
TC
5 tháng 5 2022
a)\(=\left(\dfrac{2}{2}+\dfrac{1}{2}\right)\times\left(\dfrac{3}{3}+\dfrac{1}{3}\right)\times...\times\left(\dfrac{2005}{2005}+\dfrac{1}{2005}\right)\)
\(=\dfrac{3}{2}\times\dfrac{4}{3}\times...\times\dfrac{2006}{2005}=\dfrac{2006}{2}=1003\)
b)\(=\left(\dfrac{2}{3}+\dfrac{1}{3}\right)\times\dfrac{1}{2}=\dfrac{3}{3}\times\dfrac{1}{2}=\dfrac{1}{2}\)
1 tháng 4 2023
`x/(x+1)=1/(1xx2)+1/(2xx3)+1/(3xx4)+...+1/(31xx32)`
`=>x/(x+1)=1-1/2+1/2-1/3+1/3-1/4+...+1/31-1/32`
`=>x/(x+1)=1-1/32`
`=>x/(x+1)=31/32`
`=>32x=31(x+1)`
`=>32x=31x+31`
`=>32x-31x=31`
`=>x=31`
\(\dfrac{1}{x+1}-\dfrac{1}{x}\) MTC: \(x\left(x+1\right)\)
\(=\dfrac{x}{x\left(x+1\right)}-\dfrac{x+1}{x\left(x+1\right)}\)
\(=\dfrac{x-\left(x+1\right)}{x\left(x+1\right)}\)
\(=\dfrac{x-x-1}{x\left(x+1\right)}\)
\(=\dfrac{-1}{x\left(x+1\right)}\)