\left\{ \begin{array} { l } { \frac { 1 } { 8 } a + \frac { 1 } { 4 } b + \frac { 1 } { 2 } c + 2 = 0 } \\ { 8 a + 4 b + 2 c + 2 = 0 } \\ { \frac { 27 } { 8 a } + \frac { 9 } { 4 } b + \frac { 3 } { 2 } c + 2 = 2 } \end{array} \right.
Solve for a, b, c
a=\frac{-\sqrt{115}-4}{11}\approx -1.338527754\text{, }b=\frac{5\sqrt{115}}{22}+\frac{32}{11}\approx 5.346319385\text{, }c=\frac{-\sqrt{115}-59}{11}\approx -6.338527754
a=\frac{\sqrt{115}-4}{11}\approx 0.611255027\text{, }b=-\frac{5\sqrt{115}}{22}+\frac{32}{11}\approx 0.471862433\text{, }c=\frac{\sqrt{115}-59}{11}\approx -4.388744973
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