Question

[Trà My Phạm]

x+27/343 + x+28/342 = x+121/249 + x+120/250

Answer 1

[Nguyễn Huy Tú]

\(\dfrac{x+27}{343}+\dfrac{x+28}{342}=\dfrac{x+121}{249}+\dfrac{x+120}{250}\)

\(\Rightarrow\left(\dfrac{x+27}{343}+1\right)+\left(\dfrac{x+28}{342}+1\right)=\left(\dfrac{x+121}{249}+1\right)+\left(\dfrac{x+120}{250}+1\right)\)

\(\Rightarrow\dfrac{x+370}{343}+\dfrac{x+370}{342}-\dfrac{x+370}{249}-\dfrac{x+370}{250}=0\)

\(\Rightarrow\left(x+370\right)\left(\dfrac{1}{343}+\dfrac{1}{342}-\dfrac{1}{249}-\dfrac{1}{250}\right)=0\)

Mà \(\dfrac{1}{343}+\dfrac{1}{342}-\dfrac{1}{249}-\dfrac{1}{250}\ne0\)

\(\Rightarrow x+370=0\Rightarrow x=-370\)

Vậy x = -370

Answer 2

[Trà My Phạm]

Cảm ơn bạn nhé !