tìm x giải ra cho 10 tick
2013*x+x*(1/2013)-2013=1/2013
GIẢI RA CHO 10 TICK
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Cho biết x=-1-2-2^2-.....-3^2013-2^2014;y=-2^2015
Chứng tỏ x là số liền sau của y
Giải rõ ra mình tick
(2011/2012+2012/2013+2013/2014+...+3026/3027) x (1/5-2/3:3/10)
= (2011/2012+2012/2013+2013/2014+...+3026/3027) x (1/5-2/10)
= (2011/2012+2012/2013+2013/2014+...+3026/3027) x (1/5-1/5)
= (2011/2012+2012/2013+2013/2014+...+3026/3027) x 0
= 0
B> \(\left(x+\sqrt{x^2+2013}\right)\left(y+\sqrt{y^2+2013}\right)\)\(=2013\)
\(\Leftrightarrow\left(x+\sqrt{x^2+2013}\right)\left(y+\sqrt{y^2+2013}\right)\)\(\left(x-\sqrt{x^2+2013}\right)=2013\left(x-\sqrt{x^2+2013}\right)\)
\(\Leftrightarrow\left(x^2-x^2-2013\right)\left(y+\sqrt{y^2+2013}\right)\)\(=2013\left(x-\sqrt{x^2+2013}\right)\)
\(\Leftrightarrow-2013\left(y+\sqrt{y^2+2013}\right)\)\(=2013\left(x-\sqrt{x^2+2013}\right)\)
\(\Leftrightarrow y+\sqrt{y^2+2013}=-x+\sqrt{x^2+2013}\)
Chứng minh tương tự: \(x+\sqrt{x^2+2013}=-y+\sqrt{y^2+2013}\)
cộng vế theo vế ta được: \(x+y=-x-y\)
\(\Leftrightarrow x+y=0\Leftrightarrow x=-y\Leftrightarrow x^{2013}=-y^{2013}\)
\(\Leftrightarrow x^{2013}+y^{2013}=0\)
a,Ta có x =...
x = \(\frac{\sqrt{3}\left(\sqrt{\sqrt{3}+1}+1\right)-\sqrt{3}\left(\sqrt{\sqrt{3+1}-1}\right)}{\left(\sqrt{\sqrt{3}+1}\right)\left(\sqrt{\sqrt{3}-1}\right)}\)
x = \(\frac{\sqrt{3}\left(\sqrt{\sqrt{3}+1}+1-\sqrt{\sqrt{3}+1}+1\right)}{\sqrt{3}+1-1}\)
x = \(\frac{\sqrt{3}.2}{\sqrt{3}}\)
x = 2
sau đó thay x=2 vào A nhé.
A=2014 !!!
TA CÓ: \(\frac{x}{2013}+\frac{x-1}{2012}=\frac{x-2}{2011}+\frac{x-3}{2010}\)
\(\Rightarrow\frac{x}{2013}+\frac{x-1}{2012}-\frac{x-2}{2011}-\frac{x-3}{2010}=0\)
\(\frac{x}{2013}-1+\frac{x-1}{2012}-1-\frac{x-2}{2011}+1-\frac{x-3}{2010}+1=0\)
\(\left(\frac{x}{2013}-1\right)+\left(\frac{x-1}{2012}-1\right)-\left(\frac{x-2}{2011}-1\right)-\left(\frac{x-3}{2010}-1\right)=0\)
\(\frac{x-2013}{2013}+\frac{x-2013}{2012}-\frac{x-2013}{2011}-\frac{x-2013}{2010}=0\)
\(\left(x-2013\right).\left(\frac{1}{2013}+\frac{1}{2012}-\frac{1}{2011}-\frac{1}{2010}\right)=0\)
MÀ \(\frac{1}{2013}< \frac{1}{2011};\frac{1}{2012}< \frac{1}{2010}\)
\(\Rightarrow\frac{1}{2013}+\frac{1}{2012}-\frac{1}{2011}-\frac{1}{2010}\ne0\)
\(\Rightarrow x-2013=0\)
\(x=2013\)
VẬY X= 2013
CHÚC BN NĂM MỚI VUI VẺ NHA!!!!!!!
\(\Rightarrow\)\(\frac{2}{6}\)+ \(\frac{2}{12}\)+ \(\frac{2}{20}\)+...+\(\frac{2}{x\left(x+1\right)}\)= \(\frac{2011}{2013}\)
\(\Rightarrow\)\(\frac{2}{2.3}\)+ \(\frac{2}{3.4}\)+ \(\frac{2}{4.5}\)+...+ \(\frac{2}{x\left(x+1\right)}\)= \(\frac{2011}{2013}\)
\(\Rightarrow\)\(\frac{1}{2}\)- \(\frac{1}{3}\)+ \(\frac{1}{3}\)- \(\frac{1}{4}\)+...+ \(\frac{1}{x}\)- \(\frac{1}{x+1}\)= \(\frac{2011}{2013}\): 2
\(\Rightarrow\)\(\frac{1}{2}\)- \(\frac{1}{x+1}\)= \(\frac{2011}{4026}\)
\(\Rightarrow\)\(\frac{1}{x+1}\)= \(\frac{1}{2}\)- \(\frac{2011}{4026}\)= \(\frac{1}{2013}\)
\(\Rightarrow\)\(x+1=2013\)
2013*x +x* 1/2013 = 1/2013 + 2013
x* (2013+1/2013)=1/2013+2013
x = 1
X=1 phải ko