\left\{ \begin{array} { l } { ( a + d ) ( a - d ) = - 1 } \\ { ( a + d ) ( b + c ) = - 3 } \end{array} \right.
Solve for a, d, b, c
a\in \mathrm{R}\text{, }d=-\frac{b^{2}+2bc+c^{2}+9}{6\left(b+c\right)}\text{, }b=3\sqrt{a^{2}+1}+3a-c\text{, }c\in \mathrm{R}
a\in \mathrm{R}\text{, }d=-\frac{b^{2}+2bc+c^{2}+9}{6\left(b+c\right)}\text{, }b=-3\sqrt{a^{2}+1}+3a-c\text{, }c\in \mathrm{R}
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