12.x-33=3^2014/3^2013
Những câu hỏi liên quan
cho m = 3 x 13 x 23 x 33 x 43 x 53 x .... x 2013
n = 2 x 4 x 6 x 8 x 12........ + 14 x 2014
p=m-n lớp 5
x+1/2014 +x+2/2013 +x+3/
2012=3x+12/2011
Xem chi tiết
x+1/2014+ x+2/2013+ x+3/2012 = 3x + 12/2011
\(\frac{x+1}{2014}+\frac{x+2}{2013}+\frac{x+3}{2012}=\frac{3x+12}{2011}\)
\(\Leftrightarrow\left(\frac{x+1}{2014}+1\right)+\left(\frac{x+2}{2013}+1\right)+\left(\frac{x+3}{2012}+1\right)=\frac{3x+12}{2011}+3\)
\(\Leftrightarrow\frac{x+2015}{2014}+\frac{x+2015}{2013}+\frac{x+2015}{2012}=\frac{3x+6045}{2011}\)
\(\Leftrightarrow\frac{x+2015}{2014}+\frac{x+2015}{2013}+\frac{x+2015}{2012}-\frac{3\left(x+2015\right)}{2011}=0\)
\(\Leftrightarrow\left(x+2015\right)\left(\frac{1}{2014}+\frac{1}{2013}+\frac{1}{2012}-\frac{3}{2011}\right)=0\)
Mà \(\frac{1}{2014}+\frac{1}{2013}+\frac{1}{2012}-\frac{3}{2011}\ne0\)
\(\Leftrightarrow x+2015=0\)
\(\Leftrightarrow x=-2015\)
Vậy x = -2015
Chứng tỏ
3^2016-3^2015+3^2014+3^2013 là bội của -33
Tìm x biết:
x-2014-2015/2013 + x-2013-2015/2014 + x-2014-2013/2015=3
\(x-2014-\frac{2015}{2013}+x-2013-\frac{2015}{2014}+x-2014-\frac{2013}{2015}=3\)
\(\Rightarrow\left(x+x+x\right)+\left(-2014-2014\right)-2013-\frac{2015}{2013}-\frac{2015}{2014}-\frac{2013}{2015}=3\)
\(3x-2013-\frac{2015}{2013}-\frac{2015}{2014}-\frac{2013}{2015}=3\)
\(3x=3+2013+\frac{2015}{2013}+\frac{2015}{2014}+\frac{2013}{2015}\)
bạn ơi bài này số lớn quá bạn sử dungjmays tính rồi tự tính nhé
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Đáp án của bạn Hoàng Đình Đại sai rùi nhưng dù sao cx cảm ơn nhiều
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Giải phương trình x-3/2013 + x-2/2014 = x-2014/2 + x-2013/3
\(\dfrac{x-3}{2013}+\dfrac{x-2}{2014}=\dfrac{x-2014}{2}+\dfrac{x-2013}{3}\)
\(\Leftrightarrow\dfrac{x-3}{2013}-1+\dfrac{x-2}{2014}-1=\dfrac{x-2014}{2}-1+\dfrac{x-2013}{3}-1\)
\(\Leftrightarrow\dfrac{x-3-2013}{2013}+\dfrac{x-2-2014}{2014}=\dfrac{x-2014-2}{2}+\dfrac{x-2013-3}{3}\)
\(\Leftrightarrow\dfrac{x-2016}{2013}+\dfrac{x-2016}{2014}=\dfrac{x-2016}{2}+\dfrac{x-2016}{3}\)
\(\Leftrightarrow\dfrac{x-2016}{2013}+\dfrac{x-2016}{2014}-\dfrac{x-2016}{2}-\dfrac{x-2016}{3}=0\)
\(\Leftrightarrow\left(x-2016\right)\left(\dfrac{1}{2013}+\dfrac{1}{2014}-\dfrac{1}{2}-\dfrac{1}{3}\right)=0\)
Vì \(\dfrac{1}{2013}+\dfrac{1}{2014}-\dfrac{1}{2}-\dfrac{1}{3}\ne0\)
\(\Rightarrow x-2016=0\)
\(\Leftrightarrow x=2016\)( thỏa mãn )
Vậy x = 2016
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\(\dfrac{x-3}{2013}+\dfrac{x-2}{2014}=\dfrac{x-2014}{2}+\dfrac{x-2013}{3}\)
\(\Leftrightarrow\dfrac{x-3}{2013}-1+\dfrac{x-2}{2014}-1=\dfrac{x-2014}{2}-1+\dfrac{x-2013}{3}-1\)
\(\Leftrightarrow\dfrac{x-2016}{2013}+\dfrac{x-2016}{2014}=\dfrac{x-2016}{2}+\dfrac{x-2016}{3}\)
\(\Leftrightarrow\left(x-2016\right)\left(\dfrac{1}{2013}+\dfrac{1}{2014}-\dfrac{1}{2}-\dfrac{1}{3}\right)=0\)
\(\Leftrightarrow x-2016=0\) (do \(\dfrac{1}{2013}+\dfrac{1}{2014}-\dfrac{1}{2}-\dfrac{1}{3}\ne0\))
\(\Rightarrow x=2016\)
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\(\dfrac{x-3}{2013}+\dfrac{x-2}{2014}=\dfrac{x-2014}{2}+\dfrac{x-2013}{3}\)
\(\Leftrightarrow(\dfrac{x-3}{2013}-1)+(\dfrac{x-2}{2014}-1)=(\dfrac{x-2014}{2}-1)+(\dfrac{x-2013}{3}-1)\)
\(\Leftrightarrow\dfrac{x-2016}{2013}+\dfrac{x-2016}{2014}=\dfrac{x-2016}{2}+\dfrac{x-2016}{3}\)
\(\Leftrightarrow\left(x-2016\right)\left(\dfrac{1}{2013}+\dfrac{1}{2014}-\dfrac{1}{2}-\dfrac{1}{3}\right)=0\)
\(\Leftrightarrow x-2016=0\) (Vì \(\dfrac{1}{2013}+\dfrac{1}{2014}-\dfrac{1}{2}-\dfrac{1}{3}\ne0\))
\(\Leftrightarrow x=2016\)
Vậy \(S=\left\{2016\right\}\)
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(1/2013 + 12/2014 + 123/2015) x (1/2 - 1/3 - 1/6)
= (1/2013 + 12/2014 + 123/2015) x 0
= 0
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tính A=-2014-(-2014)+(2013)^0.(-1)^3+(-2)^3+12/25-17/37+13/25-20/37
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