Question

Bài 1 Tìm số nguyên a để

\(\dfrac{2a+9}{a+3}\) + \(\dfrac{5a+17}{a+3}\)- \(\dfrac{3a}{a+3}\)là số nguyên

Bài 2 Tìm x

\(\dfrac{x+2}{327}\)+\(\dfrac{x+3}{326}\)+\(\dfrac{x+4}{325}\)+\(\dfrac{x+5}{324}\)+\(\dfrac{x+349}{5}\)=0

Answer 1

Bài 2:

\(\left(\dfrac{x+2}{327}+1\right)+\left(\dfrac{x+3}{326}+1\right)+\left(\dfrac{x+4}{325}+1\right)+\left(\dfrac{x+5}{324}\right)+\left(\dfrac{x+349}{5}-4\right)=0\)

\(\dfrac{x+329}{327}+\dfrac{x+329}{326}+\dfrac{x+329}{325}+\dfrac{x+329}{324}+\dfrac{x+329}{5}=0\)

\(\left(x+329\right)\left(\dfrac{1}{327}+\dfrac{1}{326}+\dfrac{1}{325}+\dfrac{1}{324}+\dfrac{1}{5}\right)=0\)

\(\Rightarrow x+329=0\)

\(\Rightarrow x=-329\)