\left\{ \begin{array} { l } { 1 + a + c = 0 } \\ { 4 + 1 + 2 a + b + c = 0 } \\ { a ^ { 2 } + 8 b - 4 c - 46 = 0 } \end{array} \right.
Solve for a, c, b
a=\sqrt{78}+2\approx 10.831760866\text{, }c=-\sqrt{78}-3\approx -11.831760866\text{, }b=-\sqrt{78}-6\approx -14.831760866
a=2-\sqrt{78}\approx -6.831760866\text{, }c=\sqrt{78}-3\approx 5.831760866\text{, }b=\sqrt{78}-6\approx 2.831760866
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