ĐKXĐ: x khác 13 , x khác 0
\(\frac{300}{x-13}-\frac{300}{x}=\frac{2}{3}\Rightarrow300.3x-300.3.\left(x-13\right)-2x.\left(x-13\right)=0\)
\(\Rightarrow900x-900x+11700-2x^2+26x=0\)
\(\Rightarrow-2x^2+26x+11700=0\)
Có: \(\Delta=26^2-4.11700.\left(-2\right)=94276>0\) \(\Rightarrow\sqrt{\Delta}=14\sqrt{481}\)
\(\Rightarrow x=\frac{13+7\sqrt{481}}{2};x=\frac{13-7\sqrt{481}}{2}\)
Vậy pt có 2 nghiệm như trên