Question

GIẢI PHƯƠNG TRÌNH

\(\frac{X+29}{1971}+\frac{X+27}{1973}+\frac{X+25}{1975}=\frac{X+1971}{29}+\frac{X+1973}{27}+\frac{X+1975}{25}\)

 

 

Answer 1

Ta cong them 1 vao moi phan thuc:

         \(\frac{X+29}{1971}+1+\frac{X+27}{1973}+1+\frac{X+25}{1975}+1=\frac{X+1971}{29}+1+\frac{X+1973}{27}+1+\frac{X+1975}{25}+1\) 

  \(\Leftrightarrow\frac{X+2000}{1971}+\frac{X+2000}{1973}+\frac{X+2000}{1975}=\frac{X+2000}{29}+\frac{X+2000}{27}+\frac{X+2000}{25}\) 

   \(\Leftrightarrow\frac{X+2000}{1971}+\frac{X+2000}{1973}+\frac{X+2000}{1975}-\frac{X+2000}{29}-\frac{X+2000}{27}-\frac{X+2000}{25}=0\)

    \(\Leftrightarrow\left(X+2000\right)\left(\frac{1}{1971}+\frac{1}{1973}+\frac{1}{1975}-\frac{1}{29}-\frac{1}{27}-\frac{1}{25}\right)=0\)

     Vi  \(\frac{1}{1971}+\frac{1}{1973}+\frac{1}{1975}-\frac{1}{29}-\frac{1}{27}-\frac{1}{25}\ne0\) nen    \(X+2000=0\Leftrightarrow X=-2000\)

Vay \(X=-2000\)

   

Answer 2

mk cũng đồng ý vs cách làm của Nguyễn Đức Tiến