a) \(\frac{x}{-15}=-\frac{60}{x}\)
\(\Rightarrow x.x=\left(-60\right).\left(-15\right)\)
\(\Rightarrow x^2=900=30^2\)
\(\Rightarrow x=30\)
b) \(-\frac{2}{x}=-\frac{x}{\frac{8}{25}}\)
\(\Rightarrow x.x=-2.\frac{-8}{25}\)
\(\Rightarrow x^2=\frac{16}{25}=\left(\frac{4}{5}\right)^2\)
\(\Rightarrow x=\frac{4}{5}\)
\(a,\frac{x}{-15}=\frac{-60}{x}\)
\(\Rightarrow x.x=\left(-60\right).\left(-15\right)\)
\(\Rightarrow x^2=900\)
\(\Rightarrow x^2=\orbr{\begin{cases}30^2\\-30^2\end{cases}}\)
\(\Rightarrow x=\orbr{\begin{cases}30\\-30\end{cases}}\)
\(b,\frac{-2}{x}=\frac{-x}{8}:25\)
\(\Rightarrow-x^2=-2.8.25=-400\)
\(\Rightarrow x^2=400\)
\(\Rightarrow x=\orbr{\begin{cases}20\\-20\end{cases}}\)