Question

(x+5)/2015+(x+6)/2014+(x+7)/2013+(x+8)/2012=-4

mn giúp mik vs nha 

Answer 1

\(\dfrac{x+5}{2015}+\dfrac{x+6}{2014}+\dfrac{x+7}{2013}+\dfrac{x+8}{2012}=-4\\ \Leftrightarrow\left(\dfrac{x+5}{2015}+1\right)+\left(\dfrac{x+6}{2014}+1\right)+\left(\dfrac{x+7}{2013}+1\right)+\left(\dfrac{x+8}{2012}+1\right)=0\\ \Leftrightarrow\dfrac{x+2020}{2015}+\dfrac{x+2020}{2014}+\dfrac{x+2020}{2013}+\dfrac{x+2020}{2012}=0\\ \Leftrightarrow\left(x+2020\right)\left(\dfrac{1}{2015}+\dfrac{1}{2014}+\dfrac{1}{2013}+\dfrac{1}{2012}\right)=0\\ \Leftrightarrow x+2020=0\\ \Leftrightarrow x=-2020\)

Vậy x = -2020 là nghiệm của pt.

Answer 2

\(\dfrac{x+5}{2015}+\dfrac{x+6}{2014}+\dfrac{x+7}{2013}+\dfrac{x+8}{2012}=-4\)

\(\Leftrightarrow x+2020=0\)

hay x=-2020