\(\Leftrightarrow\dfrac{90}{x}-\dfrac{90}{x+5}=\dfrac{1}{5}\)
\(\Leftrightarrow x\left(x+5\right)=450x+2250-450x\)
\(\Leftrightarrow x^2+5x-2250=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=45\\x=-50\end{matrix}\right.\)
ĐKXĐ: \(x\ne0;x\ne-5\)
\(\dfrac{180}{x}-\dfrac{180}{x+5}=\dfrac{2}{5}\)
\(\Leftrightarrow\dfrac{180.5.\left(x+5\right)}{5x\left(x+5\right)}-\dfrac{180.5.x}{5x\left(x+5\right)}=\dfrac{2.x.\left(x+5\right)}{5x\left(x+5\right)}\)
\(\Leftrightarrow900x+4500-900x=2x^2+10x\)
\(\Leftrightarrow2x^2+10x-4500=0\)
\(\Leftrightarrow x^2+5x-2250=0\)
\(\Leftrightarrow x^2+50x-45x-2250=0\)
\(\Leftrightarrow x\left(x+50\right)-45\left(x+50\right)=0\)
\(\Leftrightarrow\left(x+50\right)\left(x-45\right)=0\)
=> x+50=0 hoặc x-45=0
x=-50 x=45
Vậy....
