Question

tim x

a)x-5/x-3 >0

b)x+8/x-9<0

c) (x+1)/2017 +(x+2)/2016 +(x+3)/2015 +(x+4)/2014 +4=0

Answer 1

a: \(\dfrac{x-5}{x-3}>0\)

=>x-5>0 hoặc x-3<0

=>x>5 hoặc x<3

b: \(\dfrac{x+8}{x-9}< 0\)

=>x+8>0 và x-9<0

=>-8<x<9

c: \(\dfrac{x+1}{2017}+\dfrac{x+2}{2016}+\dfrac{x+3}{2015}+\dfrac{x+4}{2014}+4=0\)

\(\Leftrightarrow\left(\dfrac{x+1}{2017}+1\right)+\left(\dfrac{x+2}{2016}+1\right)+\left(\dfrac{x+3}{2015}+1\right)+\left(\dfrac{x+4}{2014}+1\right)=0\)

=>x+2018=0

hay x=-2018