\(2,\) \(a,x=\dfrac{3}{5}+\left(\dfrac{1}{2}\right)^2\)
\(x=\dfrac{17}{20}\)
\(b,\dfrac{2}{3}x=1\dfrac{7}{9}\div0,2\)
\(\dfrac{2}{3}x=\dfrac{16}{9}\div0,2\)
\(\dfrac{2}{3}x=\dfrac{80}{9}\)
\(x=\dfrac{80}{9}\div\dfrac{2}{3}\)
\(x=\dfrac{40}{3}\)
\(c,-\dfrac{2}{3}+\dfrac{4^2}{9}x=-\dfrac{1}{3}\)
\(-\dfrac{2}{3}+\dfrac{8}{9}x=-\dfrac{1}{3}\)
\(\dfrac{8}{9}x=-\dfrac{1}{3}--\dfrac{2}{3}\)
\(\dfrac{8}{9}x=\dfrac{1}{3}\)
\(x=\dfrac{8}{9}\div\dfrac{1}{3}\)
\(x=\dfrac{8}{3}\)
\(d,\left(x+2\right)\div\dfrac{1}{4}=\dfrac{8}{5}\)
\(x+2=\dfrac{8}{5}.\dfrac{1}{4}\)
\(x+2=\dfrac{2}{5}\)
\(x=\dfrac{2}{5}-2\)
\(x=-\dfrac{8}{5}\)
\(e,\left(-\dfrac{2}{3}\right)^2-2x=\dfrac{1}{3}\)
\(\dfrac{4}{9}-2x=\dfrac{1}{3}\)
\(2x=\dfrac{4}{9}-\dfrac{1}{3}\)
\(2x=\dfrac{1}{9}\)
\(x=\dfrac{1}{9}\div2\)
\(x=\dfrac{1}{18}\)
\(3,\) \(a,\left|x\right|=3\)
\(\left[{}\begin{matrix}x=3\\x=-3\end{matrix}\right.\)
\(b,\left|x\right|=\sqrt{7}\)
\(\left[{}\begin{matrix}x=\sqrt{7}\\x=-\sqrt{7}\end{matrix}\right.\)
\(c,\left|x+3\right|=9\)
\(\left[{}\begin{matrix}x+3=9\\x+3=-9\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=9-3\\x=-9-3\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=6\\x=-12\end{matrix}\right.\)
\(d,\left|x-2\right|+\dfrac{1}{3}=\dfrac{7}{9}\)
\(\left|x-2\right|=\dfrac{7}{9}-\dfrac{1}{3}\)
\(\left|x-2\right|=\dfrac{4}{9}\)
\(\left[{}\begin{matrix}x-2=\dfrac{4}{9}\\x-2=-\dfrac{4}{9}\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=\dfrac{4}{9}+2\\x=-\dfrac{4}{9}+2\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=\dfrac{22}{9}\\x=\dfrac{14}{9}\end{matrix}\right.\)