Đáp án:
\(\left[ \begin{array}{l}x=\frac{1}{2}\\x=\frac{3}{2}\end{array} \right.\)
Giải thích các bước giải:
$(x-\frac{1}{2})^{10}$ = $(x-\frac{1}{2})^{9}$
⇔ $(x-\frac{1}{2})^{10}$ - $(x-\frac{1}{2})^{9}$ =0
⇔$(x-\frac{1}{2})^{9}$ .( $x-\frac{1}{2}$ -1) =0
⇔\(\left[ \begin{array}{l}x-\frac{1}{2}=0\\x-\frac{1}{2} -1=0\end{array} \right.\)
⇔ \(\left[ \begin{array}{l}x=\frac{1}{2}\\x=\frac{3}{2}\end{array} \right.\)