\(\frac{1927-x}{91}+\frac{1925-x}{93}+\frac{1923-x}{95}+\frac{1921-x}{97}+4=0\)
\(\Leftrightarrow\left(\frac{1927-x}{91}+1\right)+\left(\frac{1925-x}{93}+1\right)+\left(\frac{1923-x}{95}+1\right)+\left(\frac{1921-x}{97}+1\right)=0\)
\(\Leftrightarrow\frac{1927-x+91}{91}+\frac{1925-x+93}{93}+\frac{1923-x+95}{95}+\frac{1921-x+97}{97}=0\)
\(\Leftrightarrow\frac{2018-x}{91}+\frac{2018-x}{93}+\frac{2018-x}{95}+\frac{2018-x}{97}=0\)
\(\Leftrightarrow\left(2018-x\right)\left(\frac{1}{91}+\frac{1}{93}+\frac{1}{95}+\frac{1}{97}\right)=0\)
Vì \(\frac{1}{91}+\frac{1}{93}+\frac{1}{95}+\frac{1}{97}\ne0\)\(\Rightarrow2018-x=0\)\(\Leftrightarrow x=2018\)
Vậy tập nghiệm của phương trình là \(S=\left\{2018\right\}\)
