Ta có: \(\sqrt{2x^2-5x-4}=\sqrt{4x+1}\)
\(\Leftrightarrow2x^2-5x-4=4x+1\)
\(\Leftrightarrow2x^2-9x-5=0\)
\(\Leftrightarrow2x^2-10x+x-5=0\)
\(\Leftrightarrow\left(x-5\right)\left(2x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=5\\x=-\dfrac{1}{2}\end{matrix}\right.\)
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