\left\{ \begin{array} { l } { a + b = 0 } \\ { \frac { 2 + k - \sqrt { 4 + k ^ { 2 } } } { 2 } a + b = - 1 } \end{array} \right.
Solve for a, b, k
a=-b
b<0
k=-b+\frac{1}{b}
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