Question

Tìm x:\(\frac{X}{2016}+\frac{x+1}{2015}+\frac{x+3}{2014}\)=-3

Answer 1

\(\frac{x}{2016}+\frac{x+1}{2015}+\frac{x+2}{2014}=-3\) 

\(\Leftrightarrow\frac{x}{2016}+1+\frac{x+1}{2015}+1+\frac{x+2}{2014}+1=0\)

\(\Leftrightarrow\frac{x+2016}{2016}+\frac{x+2016}{2015}+\frac{x+2016}{2014}=0\)

\(\Leftrightarrow x+2016\left(\frac{1}{2016}+\frac{1}{2015}+\frac{1}{2014}\right)=0\)

Có: \(\frac{1}{2016}+\frac{1}{2015}+\frac{1}{2014}>0\)

\(\Rightarrow x+2016=0\Rightarrow x=-2016\)

Answer 2

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