\(\left(x-0,3\right)^2=0,\left(4\right)\)
\(\Rightarrow\left(x-\frac{3}{10}\right)^2=\frac{4}{9}\)
\(\Rightarrow\left(x-\frac{3}{10}\right)^2=\left(\pm\frac{2}{3}\right)^2\)
\(\Rightarrow x-\frac{3}{10}=\pm\frac{2}{3}.\)
\(\Rightarrow\orbr{\begin{cases}x-\frac{3}{10}=\frac{2}{3}\\x-\frac{3}{10}=-\frac{2}{3}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{2}{3}+\frac{3}{10}\\x=\left(-\frac{2}{3}\right)+\frac{3}{10}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{29}{30}\\x=-\frac{11}{30}\end{cases}}\)
Vậy \(x\in\left\{\frac{29}{30};-\frac{11}{30}\right\}.\)
Chúc bạn học tốt!
\(\left(x-0,3\right)^2=0,\left(4\right)\)
\(\left(x-0,3\right)^2=\frac{4}{9}\)
\(\Rightarrow\left(x-0,3\right)^2=\left(\frac{2}{3}\right)^2\) hoặc \(\left(x-0,3\right)^2=\left(\frac{-2}{3}\right)^2\)
\(\Rightarrow x-0,3=\frac{2}{3}\) hoặc \(x-0,3=\frac{-2}{3}\)
\(x=\frac{2}{3}-0,3\) \(x=\frac{-2}{3}-0,3\)
\(x=\frac{11}{30}\) \(x=\frac{-29}{30}\)
Vậy \(x\in\left\{\frac{11}{30};\frac{-29}{30}\right\}\)
