ĐKXĐ: \(\left\{{}\begin{matrix}4x^2-1>=0\\2x-1>=0\end{matrix}\right.\)
=>\(x>=\dfrac{1}{2}\)
\(\sqrt{4x^2-1}-2\sqrt{2x-1}=0\)
=>\(\sqrt{\left(2x-1\right)\left(2x+1\right)}-2\sqrt{2x-1}=0\)
=>\(\sqrt{2x-1}\left(\sqrt{2x+1}-2\right)=0\)
=>\(\left[{}\begin{matrix}2x-1=0\\\sqrt{2x+1}-2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x-1=0\\2x+1=4\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}x=\dfrac{1}{2}\left(nhận\right)\\x=\dfrac{3}{2}\left(nhận\right)\end{matrix}\right.\)
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