\left\{ \begin{array} { l } { \frac { k + g } { 2 } = - 4 } \\ { \frac { k ^ { 2 } + 6 k + 5 } { 2 } = 1 } \end{array} \right.
Solve for k, g
k=-\left(\sqrt{6}+3\right)\approx -5.449489743\text{, }g=\sqrt{6}-5\approx -2.550510257
k=\sqrt{6}-3\approx -0.550510257\text{, }g=-\left(\sqrt{6}+5\right)\approx -7.449489743
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