Question

(-11/3x-0,2)mux2=25/36

Answer 1

\(\left(-\dfrac{11}{3}x-0,2\right)^2=\dfrac{25}{36}\)

\(\left(-\dfrac{11}{3}x-\dfrac{1}{5}\right)^2=\dfrac{5^2}{6^2}\)

\(\left[{}\begin{matrix}-\dfrac{11}{3}x-\dfrac{1}{5}=\dfrac{5}{6}\\-\dfrac{11}{3}x-\dfrac{1}{5}=-\dfrac{5}{6}\end{matrix}\right.\)

\(\left[{}\begin{matrix}-\dfrac{11}{3}x=\dfrac{31}{30}\\-\dfrac{11}{3}x=-\dfrac{19}{30}\end{matrix}\right.\)

\(\left[{}\begin{matrix}x=-\dfrac{31}{110}\\x=\dfrac{19}{110}\end{matrix}\right.\)

`=>`\(x\in\left\{-\dfrac{31}{110};\dfrac{19}{110}\right\}\)

Answer 2

`(-11/3x-0,2) = 25/36`

`<=>` \(\left[{}\begin{matrix}-\dfrac{11}{3}x-0,2=\dfrac{5}{6}\\-\dfrac{11}{3}x-0,2=-\dfrac{5}{6}\end{matrix}\right.\)

`<=>` \(\left[{}\begin{matrix}x=-\dfrac{31}{110}\\x=\dfrac{19}{110}\end{matrix}\right.\)

Answer 3