`|x^2-1|=2x+3`
`⇒`\(\left[ \begin{array}{l}x^2-1=2x+3\\x^2-1=-2x-3\end{array} \right.\)
`⇒`\(\left[ \begin{array}{l}x^2-2x-4=0\\x^2+2x+2=0\end{array} \right.\)
`⇒`\(\left[ \begin{array}{l}x^2-2x+1-5=0\\x^2+2x+1+1=0\end{array} \right.\)
`⇒`\(\left[ \begin{array}{l}(x-1)^2=5\\(x+1)^2=-1 (loại)\end{array} \right.\)
`⇒`\(\left[ \begin{array}{l}x-1=\sqrt{5}\\x-1=-\sqrt{5}\end{array} \right.\)
`⇒`\(\left[ \begin{array}{l}x=\sqrt{5}+1\\x=1-\sqrt{5}\end{array} \right.\)
