x-1/2011+x-2/2012+x-3/2013+x-4/2014=x+2016
Những câu hỏi liên quan
x-1/2016+x-2/2015+x-3/2014=x-4/2013+x-5/2012+x-6/2011
x+3/2013 + x+4/2012 + x+5/2011 = x+1/2015 + x+2/2014 + x/2016 Tìm x
cong 1 vao tung hang tu (vd 3/2013) roi dc tong 2016
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x+3/2013 + x+4/2012 + x+5/2011 = x+1/2015 + x+2/2014 + x/2016 Tìm x
\(\frac{x+3}{2013}+1+\)\(\frac{x+4}{2012}+1+\frac{x+5}{2011}+1\)=\(\frac{x+1}{2015}+1+\frac{x+2}{2014}+1+\frac{x}{2016}+1\)
\(\Rightarrow\frac{x+2016}{2013}+\frac{x+2016}{2012}+\frac{x+2016}{2011}=\frac{x+2016}{2014}+\frac{x+2016}{2016}\)
\(\Rightarrow\left(2016+x\right)\left(\frac{1}{2013}+\frac{1}{2012}+\frac{1}{2011}+\frac{1}{2015}+\frac{1}{2014}+\frac{1}{2016}=0\right)\)
Vì 1/2016+...+1/2011>0 nên (x+2016)=0
suy ra x= -2016
nếu đúng xin kết bạn
ch
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Xem thêm câu trả lời
giải phương trình sau (x-2) / 2012 + (x-4) / 2014 + (x-6) / 2016 = (x-1) / 2011+ (x-3 ) /2013+ (x-5) /2015
a) 2x-1/11+2x-2/12+2x-3/13=2x+5/5+2x+6/4+2x+7/3
b) x-1/2016+x-2/2015+x-3/2014+x-4/2013+x-5/2012 -5=0
c) x+2017/2+x+2015/3+x+2013/4+x+2011/5+8=0
x-1/2014+x-2/2013=x-3/2012+x-4/2011
\(\dfrac{x-1}{2014}+\dfrac{x-2}{2013}=\dfrac{x-3}{2012}+\dfrac{x-4}{2011}\)
\(\Leftrightarrow\text{}\text{}\text{}\dfrac{x-1}{2014}-1+\dfrac{x-2}{2013}-1=\dfrac{x-3}{2012}-1+\dfrac{x-4}{2011}-1\)
\(\Leftrightarrow\dfrac{x-2015}{2014}+\dfrac{x-2015}{2013}-\dfrac{x-2015}{2012}-\dfrac{x-2015}{2011}=0\)
\(\Leftrightarrow\left(x-2015\right)\left(\dfrac{1}{2014}+\dfrac{1}{2013}-\dfrac{1}{2012}-\dfrac{1}{2011}\right)=0\)
mà \(\dfrac{1}{2014}+\dfrac{1}{2013}-\dfrac{1}{2012}-\dfrac{1}{2011}\ne0\)
nên \(x-2015=0\)
\(\Leftrightarrow x=2015\)
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X+1/2014+x+2/2013=x+3/2012+x+4/2011
x+1/2014 + x+2/2013 = x+3/2012 + x+4/2011
=> x+1/2014 + 1 + x+2/2013 + 1 = x+3/2012 + 1 + x+4/2011 + 1
=> x+2015/2014 + x+2015/2013 = x+2015/2012 + x+2015/2011
=> x+2015/2012 + x+2015/2011 - x+2015/2013 - x+2015/2014 = 0
=> (x + 2015).(1/2012 + 1/2011 - 1/2013 - 1/2014) = 0
Vì 1/2011 > 1/2013; 1/2012 > 1/2014
=> 1/2012 + 1/2011 - 1/2013 - 1/2014 khác 0
=> x + 2015 = 0
=> x = -2015
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(x+4)/2011+(x+3)/2012=(x+2)/2013+(x+1)/2014.tìm x
bấm vào chữ xanh này nha bn : /hoi-dap/question/113985.html
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Tìm x biết: (1/2+1/3+1/4+...+1/2014).x =2013/1+2012/2+2011/3+...+2/2012+1/2013
trước tiên bạn phải tính:
2013/1+2012/2+2011/3+.....+2/2012+1/2013
=1+2012/2)+(1+2011/3)+.....+(1+2/2012)+(1+1/2013) +1 {BƯỚC NÀY TÁCH 2013 RA LÀM 2013SỐ1 ĐỂ CÔNG VS CÁC THỪA SỐ CÒN LẠI}
=2014/2+2014/3+...+2014/2012+2014/2013+2014/2014
=2014.(1/2+1/3+....+1/2012+1/20131/2014
suy ra x=2014
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