Question

tim x

x + 4 / 2018 + x+ 5 / 2017 + x + 6 / 2016 + x+ 7 / 2015 = - 4

Answer 1

\(\frac{x+4}{2018}+\frac{x+5}{2017}+\frac{x+6}{2016}+\frac{x+7}{2015}=-4\)

\(\Rightarrow\left(\frac{x+4}{2018}+1+\frac{x+5}{2017}+1+\frac{x+6}{2016}+1+\frac{x+7}{2015}+1\right)=-4+4=0\)

\(\Rightarrow\frac{x+2022}{2018}+\frac{x+2022}{2017}+\frac{x+2022}{2016}+\frac{x+2022}{2015}=0\)

\(\Rightarrow\left(x+2022\right)\left(\frac{1}{2018}+\frac{1}{2017}+\frac{1}{2016}+\frac{1}{2015}\right)=0\)

\(\Rightarrow x+2022=0\Leftrightarrow x=-2022\)