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\(-x-\frac{9}{2004}=-\frac{1}{2003}\)
\(\Rightarrow-x=\frac{-1}{2003}+\frac{9}{2004}\)
\(\Rightarrow-x=\frac{-1}{2003}+\frac{9}{2004}\)
\(\frac{5}{9}-x=1-2004\)
\(\Rightarrow\frac{5}{9}-x=-2003\)
\(\Rightarrow x=\frac{5}{9}-\left(-2003\right)\)
\(\Rightarrow x=\frac{18032}{9}\)
a )
\(-x-\frac{9}{2004}=-\frac{1}{2003}\)
\(-x=-\frac{1}{2003}+\frac{9}{2004}\)
Số lớn quá
b ) \(\frac{5}{9}-x=\frac{1}{2004}\)
\(x=\frac{5}{9}-\frac{1}{2004}\)
\(x=\frac{3337}{6012}\)
\(\frac{x+4}{2001}+\frac{x+3}{2002}=\frac{x+2}{2003}+\frac{x+1}{2004}\)
\(\Leftrightarrow\left(\frac{x+4}{2001}+1\right)+\left(\frac{x+3}{2002}+1\right)=\left(\frac{x+2}{2003}+1\right)+\left(\frac{x+1}{2004}+1\right)\)
\(\Leftrightarrow\frac{x+2005}{2001}+\frac{x+2005}{2002}=\frac{x+2005}{2003}+\frac{x+2005}{2004}\)
\(\Leftrightarrow\frac{x+2005}{2001}+\frac{x+2005}{2002}-\frac{x+2005}{2003}-\frac{x+2005}{2004}=0\)
\(\Leftrightarrow\left(x+2005\right).\left(\frac{1}{2001}+\frac{1}{2002}+\frac{1}{2003}+\frac{1}{2004}\right)=0\)
Vì \(\left(\frac{1}{2001}+\frac{1}{2002}+\frac{1}{2003}+\frac{1}{2004}\right)\ne0\)
\(\Rightarrow x+2004=0\)
\(\Rightarrow x=0-2004=-2004\)
\(\left(x-\frac{1}{2004}\right)+\left(x-\frac{2}{2003}\right)-\left(x-\frac{3}{2002}\right)=x-\frac{4}{2001}\)
\(x-\frac{1}{2004}+x-\frac{2}{2003}-x+\frac{3}{2002}-x=-\frac{4}{2001}\)
\(x+x-x-x-\frac{1}{2004}-\frac{2}{2003}+\frac{3}{2002}=-\frac{4}{2001}\)
\(0x-\frac{1}{2004}-\frac{2}{2003}+\frac{3}{2002}=-\frac{4}{2001}\)
\(\Rightarrow\) Vô lý
Vậy \(x\in\phi\)