1 x 2 x 3 x ................x 2012 x 2013 - 1 x 3 x 5 x..............x 2011 x 2013 .
(Làm chi tiết nha)
tim x x+3/2013+x+2/2012+x+1/2011+3=0 giãi chi tiết
Hãy chứng minh A = B , biết:
A = 1 + (1+ 2) + (1+ 2+ 3) + ...........+ ( 1+ 2+ 3+ 4+ ...+ 2013)
B = 2013 x 1 + 2012 x 2 + 2011 x 3 + ......+ 2 x 2012 + 1 x 2013
x-1 / 2013 + x-2 / 2012 + x-3 / 2011 = x-4 / 2010 + x-5 / 2009 + x-6 / 2008
\(\dfrac{x-1}{2013}+\dfrac{x-2}{2012}+\dfrac{x-3}{2011}=\dfrac{x-4}{2010}+\dfrac{x-5}{2009}+\dfrac{x-6}{2008}\)
\(\Leftrightarrow\dfrac{x-1}{2013}-1+\dfrac{x-2}{2012}-1+\dfrac{x-3}{2011}-1=\dfrac{x-4}{2010}-1+\dfrac{x-5}{2009}-1+\dfrac{x-6}{2008}-1\)
=>x-2014=0
hay x=2014
Mình có bài hay lắm nè
a, tìm x biết :1/1x2+1/3x5+1/5x8+......+1/x(x+2)= 1005/2011
b, so sánh 2011/2012+2012/2013+2013/2011 và 3
giải giùm mình nha !
Câu 1 bị sai đề bài.
Câu 2:
\(\frac{2011}{2012}+\frac{2012}{2013}+\frac{2013}{2011}=\frac{2012-1}{2012}+\frac{2013-1}{2013}+\frac{2011+1+1}{2011}\)
\(=1-\frac{1}{2012}+1-\frac{1}{2013}+1+\frac{1}{2011}+\frac{1}{2011}\)
Vì:
\(\frac{1}{2011}>\frac{1}{2012};\frac{1}{2011}>\frac{1}{2013}\Rightarrow\frac{1}{2011}+\frac{1}{2011}-\frac{1}{2012}-\frac{1}{2013}>0\)
\(\Rightarrow\)\(\frac{2012-1}{2012}+\frac{2013-1}{2013}+\frac{2011+1+1}{2011}>3\)
\(\Rightarrow\frac{2011}{2012}+\frac{2012}{2013}+\frac{2013}{2011}>3\)
Tính 2 mũ76 - 2 mũ 74/ 2 mũ 78- 2 mũ 76
bài này khó lắm đó
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
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
x-1/2016+x-2/2015+x-3/2014=x-4/2013+x-5/2012+x-6/2011
a)2^x+2^x+1+2^x+2+2^x+3=480
b)(1/2+1/3+...+1/2012+1/2013)*x=2012/1+2011/2+2010/3+..+2/2011+1/2012
\(1)2|x|^{2012}+3|y|^{2013}=5\)
\(2)|x-2011|+|x-2012|+|x-y|+|x-2013|=2\)
\(3)|x-0,2|+|y-0,1|+|x+y+z|=0\)
\(4)|x+2|+|x-1|=3-\left(y+2\right)^2\)
\(5)|x-5|+|1-x|=\frac{12}{|y+1|+3}\)
Các bạn làm đc ý nào thì giúp mk nhé!