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1/x+x+1+x+2+x+3+...+x+2006+2007=2007
------------------------------------------=2007-2007
------------------------------------------=0
x+x+x+...+x+1+2+3+...+2006=0
2007.x+(1+2+...+2006)=0
2007.x+(2006+1).[(2006-1)+1]:2=0
2007.x+2013021=0
2007.x=0-2013021
x=-2013021:2007
x=-1003
2/x+x+1+x+2+...+x+198=401-201-200-199
199.x+(1+2+...+198)=-199
199.x+(1+198).[(198-1)+1]:2=-199
199.x+19701=-199
199.x=-199-19701
x=-19900:199
x=-100
3/x+x+1+x+2+...+x+2008=2010-2010-2009
2009.x+(2008+1).[(2008-1)+1]:2=-2009
2009.x+2017036=-2009
2009.x=-2009-2017036
x=-2019045:2009
x=-1005
Theo mình kết quả là
a, X là 4 b, X = 4 c, X = 5 d, X = 3 e, X = 16
Đúng thì k nhé .
THANKS
\(\dfrac{x+2}{2010}+\dfrac{x+3}{2009}+\dfrac{x+4}{2008}+\dfrac{x+5}{2007}+\dfrac{x+2007}{5}=-5\)
Ta có:
\(\dfrac{x+2}{2010}+1+\dfrac{x+3}{2009}+1+\dfrac{x+4}{2008}+1+\dfrac{x+5}{2007}+1+\dfrac{x+2007}{5}+1=0\)
\(=\dfrac{x+2012}{2010}+\dfrac{x+2012}{2009}+\dfrac{x+2012}{2008}+\dfrac{x+2012}{2007}+\dfrac{x+2012}{5}=0\)
\(=\left(x+2012\right)\left(\dfrac{1}{2010}+\dfrac{1}{2009}+\dfrac{1}{2008}+\dfrac{1}{2007}+\dfrac{1}{5}\right)=0\)
Mà \(\dfrac{1}{2010}+\dfrac{1}{2009}+\dfrac{1}{2008}+\dfrac{1}{2007}+\dfrac{1}{5}\ne0\)
\(\Rightarrow x+2012=0\Rightarrow x=-2012\)
Vậy \(x=-2012\)
Chúc bạn học tốt!
1.1/3+1/6+1/10+...+2/x.(x+1)=2007/2009
=>2/6+2/12+2/20+...+2/x.(x+1)=2007/2009
=>1/2-1/3+1/3-1/4+1/4-1/5+...+1/x-1/(x+1)=2007/2009:2
=>1/2-1/(x+1)=2007/4018
=>1/(x+1)=1/2-2007/4018
=>1/x+1=1/2009
=>x+1=2009
=>x=2009-2008
=>x=1
vậy x=1
\(1.x+3.x+5.x+...+2007.x=x^2\)
\(\Rightarrow x.\left(1+3+5+...+2007\right)=x^2\)
\(\Rightarrow x.\frac{\left[\left(2007-1\right):2+1\right].\left(2007+1\right)}{2}=x^2\)
\(\Rightarrow x.1008016=x^2\)
\(\Rightarrow x=1008016\)
ta có x = 3.5.7.9.11...2007