\(\frac{4}{x}=\frac{x}{0,16}\)
\(x\cdot x=4\cdot0,16\)
\(x^2=\frac{16}{25}\)
\(x^2=\left(\frac{\pm4}{5}\right)^2\)
\(\Rightarrow x\in\left\{\frac{4}{5};\frac{-4}{5}\right\}\)
\(\frac{4}{x}=\frac{x}{0.16}\)
\(\Rightarrow x\cdot x=4\cdot0.16\)
\(x^2=4\cdot0.16\)
\(x^2=\frac{16}{25}\)
\(\Rightarrow\orbr{\begin{cases}x=\left(\frac{4}{5}\right)^2\\\left(\frac{-4}{5}\right)^2\end{cases}}\)
4÷x=x÷0,16
x×x=4×0,16
x^2=0,64
x=0,8
x=-0,8