Sửa đề: \(\dfrac{16}{15}\rightarrow\dfrac{16}{25}\)
Giải:
\(\left(x-\dfrac{3}{5}\right)^2=\dfrac{16}{25}\)
\(\Rightarrow\left[{}\begin{matrix}\left(x-\dfrac{3}{5}\right)^2=\left(\dfrac{4}{5}\right)^2\\\left(x-\dfrac{3}{5}\right)^2=\left(\dfrac{-4}{5}\right)^2\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x-\dfrac{3}{5}=\dfrac{4}{5}\\x-\dfrac{3}{5}=\dfrac{-4}{5}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{7}{5}\\x=\dfrac{-1}{5}\end{matrix}\right.\)
\(\left(\dfrac{5}{3}-x\right)^3=\dfrac{1}{27}\)
\(\Rightarrow\left(\dfrac{5}{3}-x\right)^3=\left(\dfrac{1}{3}\right)^3\)
\(\dfrac{5}{3}-x=\dfrac{1}{3}\)
\(x=\dfrac{5}{3}-\dfrac{1}{3}\)
\(x=\dfrac{4}{3}\)
