a) \(\left(x-\frac{2}{3}\right)^2=\frac{25}{36}\)
\(\Rightarrow x-\frac{2}{3}=\pm\frac{5}{6}\)
Nếu \(x-\frac{2}{3}=\frac{5}{6}\Rightarrow x=\frac{5}{6}+\frac{2}{3}=\frac{3}{2}\)
Nếu \(x-\frac{2}{3}=\frac{-5}{6}\Rightarrow x=\frac{-5}{6}+\frac{2}{3}=\frac{-1}{6}\)
Vậy \(x=\left\{-\frac{1}{6};\frac{3}{2}\right\}\)
b) \(\left(\frac{3}{4}-x\right)^3=-8\)
Mà \(\left(-2\right)^2=-8\)
\(\Rightarrow\frac{3}{4}-x=-2\Rightarrow x=\frac{3}{4}-\left(-2\right)=\frac{3}{4}+2=\frac{11}{4}\)
Vậy \(x=\left\{\frac{11}{4}\right\}\)
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