Question

x+4/2000 + x+3/2001 = x+3/2002 + x+4/2003

Answer 1

Xin mạn phép sửa đề:Tìm x biết

\(\frac{x+4}{2000}+\frac{x+3}{2001}=\frac{x+2}{2002}+\frac{x+1}{2003}\)

\(\Leftrightarrow\frac{x+2004}{2000}+\frac{x+2004}{2001}=\frac{x+2004}{2002}+\frac{x+2004}{2003}\)

\(\Leftrightarrow\left(x+2004\right)\left(\frac{1}{2000}+\frac{1}{2001}-\frac{1}{2002}-\frac{1}{2003}\right)=0\)

Hiển nhiên cái ngoặc to > 0 do đó x + 2004 =0 hay x = -2004