\(ĐK:x\ge-\dfrac{1}{2}\)
\(\left|x^2-1\right|=2x+1\)
\(\Leftrightarrow\left[{}\begin{matrix}x^2-1=2x+1\\x^2-1=-2x-1\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x^2-2x-2=0\\x^2+2x=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1+\sqrt{3}\\x=1-\sqrt{3}\left(l\right)\\x=0\\x=-2\end{matrix}\right.\)
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