Question

tìm x trong các tỉ lệ thức 

\(\frac{x}{-15}\)=\(\frac{-60}{x}\)

\(\frac{-2}{x}\)=\(\frac{-x}{\frac{8}{25}}\)

Answer 1

\(\frac{x}{-15}=\frac{-60}{x}\Leftrightarrow\frac{x}{-1}=\frac{-4}{x}\Leftrightarrow x\cdot x=4\)

\(\Leftrightarrow x^2=4\Leftrightarrow x=\pm2\)

\(\frac{-2}{x}=\frac{-x}{\frac{8}{25}}\)

\(\Leftrightarrow x\cdot(-x)=-2\cdot\frac{8}{25}\)

\(\Leftrightarrow-x^2=-\frac{16}{25}\)

\(\Leftrightarrow x^2=\frac{16}{25}\Leftrightarrow x=\pm\frac{4}{5}\)

Answer 2

\(\frac{x}{-15}=\frac{-60}{x}\)

\(\Rightarrow x^2=900\)

\(\Rightarrow x=\pm30\)

\(\frac{-2}{x}=\frac{-x}{\frac{8}{25}}\)

\(\Rightarrow-\left(x^2\right)=-\frac{16}{25}\)

\(\Rightarrow-\left(x^2\right)=-\left(\frac{4}{5}\right)^2\)

\(\Rightarrow x=\frac{4}{5}\)