Question

\(\frac{60}{x}\) - \(\frac{60}{x+10}\) =1

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Answer 1

ĐKXĐ: \(x\ne\left\{0;-10\right\}\)

\(\Leftrightarrow\frac{60\left(x+10\right)}{x\left(x+10\right)}-\frac{60x}{x\left(x+10\right)}=\frac{x\left(x+10\right)}{x\left(x+10\right)}\)

\(\Leftrightarrow60\left(x+10\right)-60x=x\left(x+10\right)\)

\(\Leftrightarrow60x+600-60x=x^2+10x\)

\(\Leftrightarrow x^2+10x-600=0\)

\(\Leftrightarrow\left(x-20\right)\left(x+30\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=20\\x=-30\end{matrix}\right.\)