Đáp án:\(\left[ \begin{array}{l}x=\frac{3}{10}\\x=\frac{2}{5}\\x=\frac{1}{5}\end{array} \right.\)
Giải thích các bước giải:
$(10x-3)^2013=(10x-3)^2011$
$⇒(10x-3)^{2013}-(10x-3)^{2011}=0$
$⇒(10x-3)^{2011}×[(10x-3)^2-1]=0$
$⇒$\(\left[ \begin{array}{l}(10x-3)^{2011}=0\\(10x-3)^2-1=0\end{array} \right.\)
$⇒$\(\left[ \begin{array}{l}(10x-3)^{2011}=0\\(10x-3)^2-1=0\end{array} \right.\)
$⇒$\(\left[ \begin{array}{l}10x-3=0\\(10x-3)^2=1\end{array} \right.\)
$⇒$\(\left[ \begin{array}{l}10x=3\\10x-3=1\\10x-3=-1\end{array} \right.\)
$⇒$\(\left[ \begin{array}{l}x=\frac{3}{10}\\10x=4\\10x=2\end{array} \right.\)
$⇒$\(\left[ \begin{array}{l}x=\frac{3}{10}\\x=\frac{2}{5}\\x=\frac{1}{5}\end{array} \right.\)
