Question

( x - \(\dfrac{1}{2}\))² =\(\dfrac{1}{4}\)

Answer 1

\(\left(x-\dfrac{1}{2}\right)^2=\dfrac{1}{4}\)

\(\Leftrightarrow\left[{}\begin{matrix}\left(x-\dfrac{1}{2}\right)^2=\dfrac{1}{2}^2\\\left(x-\dfrac{1}{2}\right)^2=\left(-\dfrac{1}{2}\right)^2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x-\dfrac{1}{2}=\dfrac{1}{2}\\x-\dfrac{1}{2}=-\dfrac{1}{2}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1\\x=0\end{matrix}\right.\)

\(\text{Vậy }x\in\left\{0;1\right\}\)