Tìm x biết :(x-15)/1999+(x-1998)/8+(x-7)/670=0
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NH
3
HP
8 tháng 9 2016
\(\frac{x+15}{2000}+\frac{x+16}{1999}=\frac{x+17}{1998}+\frac{x+18}{1997}\)
\(\Leftrightarrow\frac{x+15}{2000}+1+\frac{x+16}{1999}+1=\frac{x+17}{1998}+1+\frac{x+18}{1997}+1\)
\(\Leftrightarrow\frac{x+2015}{2000}+\frac{x+2015}{1999}=\frac{x+2015}{1998}+\frac{x+2015}{1997}\)
\(\Leftrightarrow\frac{x+2015}{2000}+\frac{x+2015}{1999}-\frac{x+2015}{1998}-\frac{x+2015}{1997}=0\)
\(\Leftrightarrow\left(x+2015\right)\left(\frac{1}{2000}+\frac{1}{1999}-\frac{1}{1998}-\frac{1}{1997}\right)=0\)
Có: \(\frac{1}{2000}+\frac{1}{1999}-\frac{1}{1998}-\frac{1}{1997}\ne0\)
\(\Rightarrow x+2015=0\Rightarrow x=-2015\)
TN
3
LN
23 tháng 6 2018
1) x-1998=2002
x=2002+1998
x=4000
2)x-2012=2013
x=2012+2013
x=4025
3)x:18=25
x=25.18
x=450
4)x:23=72
x=72.23
x=1656
5)(135+2012).x=0
x=0:(135+2012)
x=0
6)x.(1972+2013)=0
x=0:(1972+2013)
x=0
7)x.(x-1)=0
<=> x=0 hoặc x-1=0
x-1=0
x=0+1
x=1
Vậy x=1 hoặc 0
8) (x-9).(x-15)=0
<=> x-9=0 hoặc x-15=0
x-9=0
x=9
x-15=0
x=15
Vậy x=9 hoặc x=15
chúc bạn học tốt nha
DN
5 tháng 6 2015
\(\Leftrightarrow\frac{x-1}{2000}-1+\frac{x-2}{1999}-1+\frac{x-3}{1998}-1+....+\frac{x-1999}{2}-1=0\)
\(\Leftrightarrow\frac{x-2001}{2000}+\frac{x-2001}{1999}+\frac{x-2001}{1998}+....+\frac{x-2001}{2}=0\)
\(\Leftrightarrow\left(x-2001\right)\left(\frac{1}{2000}+\frac{1}{1999}+\frac{1}{1998}+...+\frac{1}{2}\right)=0\)
\(\Leftrightarrow x-2001=0\)
\(\Leftrightarrow x=2001\)
NB
1
30 tháng 3 2019
Suy ra \(\frac{x+1}{1999}+1+\frac{x+2}{1998}+1=\frac{x+3}{1997}+1+\frac{x+4}{1996}\)
Suy ra \(\frac{x+2000}{1999}+\frac{x+2000}{1998}=\frac{x+2000}{1997}+\frac{x+2000}{1996}\)
Suy ra \(\frac{x+2000}{1999}+\frac{x+2000}{1998}-\frac{x+2000}{1997}-\frac{x+2000}{1996}=0\)
Suy ra \(x+2000.\left(\frac{1}{1999}+\frac{1}{1998}-\frac{1}{1997}-\frac{1}{1996}\right)=0\)
Vì \(\left(\frac{1}{1999}+\frac{1}{1998}-\frac{1}{1997}-\frac{1}{1996}\right)\ne0\)
Suy ra x+2000=0
Suy ra x=-2000
Hok tốt
D
1
DP
16 tháng 7 2017
\(\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+....+\frac{1}{x\left(x+1\right)\left(x+2\right)}=\frac{1998}{1999}\)
\(\Leftrightarrow\frac{1}{2}\cdot\left(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+\frac{1}{3.4}-\frac{1}{4.5}+...+\frac{1}{x\left(x+1\right)}+\frac{1}{\left(x+1\right)\left(x+2\right)}\right)=\frac{1998}{1999}\)
\(\Leftrightarrow\frac{1}{2}\cdot\left(\frac{1}{1.2}-\frac{1}{\left(x+1\right)\left(x+2\right)}\right)=\frac{1998}{1999}\)
\(\Leftrightarrow\frac{1}{1.2}-\frac{1}{\left(x+1\right)\left(x+2\right)}=\frac{1998}{1999}\div\frac{1}{2}\)
\(\Leftrightarrow\frac{1}{1.2}-\frac{1}{\left(x+1\right)\left(x+2\right)}=\frac{3996}{1999}\)
\(\Leftrightarrow\frac{1}{\left(x+1\right)\left(x+2\right)}=\frac{1}{1.2}-\frac{3996}{1999}\)
\(\Leftrightarrow\frac{1}{\left(x+1\right)\left(x+2\right)}=\frac{-5993}{3998}\)
Như kiểu đề sai hay sao í
AH
Akai Haruma
Giáo viên
9 tháng 8 2023
Lời giải:
a. $(x.0,25+1999).2000=(53+1999).2000$
$x.0,25.2000+1999.2000=53.2000+1999.2000$
$x.0,25.2000=53.2000$
$x.0,25=53$
$x=53:0,25=212$
b.
$(5457+x:2):7=1075$
$5457+x:2=1075\times 7=7525$
$x:2=7525-5457=2068$
$x=2068\times 2=4136$
c.
$1-(\frac{12}{5}+x-\frac{8}{9}): \frac{16}{9}=0$
$(\frac{12}{5}+x-\frac{8}{9}):\frac{16}{9}=1$
$\frac{12}{5}+x-\frac{8}{9}=1.\frac{16}{9}=\frac{16}{9}$
$\frac{68}{45}+x=\frac{16}{9}$
$x=\frac{16}{9}-\frac{68}{45}=\frac{4}{15}$