Question

4 : x =x : 0.16

Answer 1

\(\frac{4}{x}=\frac{x}{0,16}\)

\(x\cdot x=4\cdot0,16\)

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

\(x^2=\left(\frac{\pm4}{5}\right)^2\)

\(\Rightarrow x\in\left\{\frac{4}{5};\frac{-4}{5}\right\}\)

Answer 2

\(\frac{4}{x}=\frac{x}{0.16}\)

\(\Rightarrow x\cdot x=4\cdot0.16\)

\(x^2=4\cdot0.16\)

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

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

Answer 3

4÷x=x÷0,16

x×x=4×0,16

x^2=0,64

x=0,8

x=-0,8