(x-\(\frac{4}{3}\))3=(-1)3
⇔x-\(\frac{4}{3}\)=-1
⇔x=\(\frac{1}{3}\)
(x-2)2=1
⇔x-2=1 hoặc x-2=-1
⇒x=3 hoặc x=1
a) \(\left(x-\frac{4}{3}\right)^3=-1\)
⇒ \(\left(x-\frac{4}{3}\right)^3=\left(-1\right)^3\)
⇒ \(x-\frac{4}{3}=-1\)
⇒ \(x=\left(-1\right)+\frac{4}{3}\)
⇒ \(x=\frac{1}{3}\)
Vậy \(x=\frac{1}{3}.\)
b) \(\left(x-2\right)^2=1\)
⇒ \(x-2=\pm1\)
⇒ \(\left[{}\begin{matrix}x-2=1\\x-2=-1\end{matrix}\right.\) ⇒ \(\left[{}\begin{matrix}x=1+2\\x=\left(-1\right)+2\end{matrix}\right.\) ⇒ \(\left[{}\begin{matrix}x=3\\x=1\end{matrix}\right.\)
Vậy \(x\in\left\{3;1\right\}.\)
Chúc bạn học tốt!
