Question

giải phương trình : 

\(\frac{x-2}{2017}\)+ \(\frac{x-3}{2016}\)=  \(\frac{x-4}{2015}\)+ \(\frac{x-5}{2014}\)

Answer 1

mk ko chép lại đề nha:

\(\Rightarrow\)\(\frac{x-2}{2017}\)\(-1+\frac{x-3}{2016}\)\(-1=\frac{x-4}{2015}\)\(-1+\frac{x-5}{2014}\)\(-1\)

\(\Rightarrow\)\(\frac{x-2-2017}{2017}\)\(+\frac{x-3-2016}{2016}\)\(=\frac{x-4-2015}{2015}\)\(+\frac{x-5-2014}{2014}\)

\(\Rightarrow\)\(\frac{x-2019}{2017}\)\(+\frac{x-2019}{2016}\)\(-\frac{x-2019}{2015}\)\(-\frac{x-2019}{2014}\)\(=0\)

\(\Rightarrow\)\(\left(x-2019\right)\)\(\left(\frac{1}{2017}+\frac{1}{2016}-\frac{1}{2015}-\frac{1}{2014}\right)\)\(=0\)

\(\Rightarrow\)\(\orbr{\begin{cases}x-2019=0\\\frac{1}{2017}+\frac{1}{2016}-\frac{1}{2015}-\frac{1}{2014}=0\left(voli\right)\end{cases}}\)

\(\Rightarrow\)\(x-2019=0\)

\(\Rightarrow\)\(x=-2019\)

Chỗ mình nghi voli là vô lí nha

chúc bạn học tốt

Answer 2

x = 2019 chứ ko phải -2019 

Answer 3

ối, mk xin lỗi bn nha. mk nhầm xíu ^^

Answer 4

Vâng :V Lần sau bạn chú ý