\left\{ \begin{array} { l } { a ^ { 2 } + b ^ { 2 } + c ^ { 2 } = 93 } \\ { a + b + c = 15 } \end{array} \right.
Solve for a, b, c (complex solution)
a=15-c-b\text{, }b=\frac{\sqrt{-3c^{2}+30c-39}-c+15}{2}\text{, }c\in \mathrm{C}
a=15-c-b\text{, }b=\frac{-\sqrt{-3c^{2}+30c-39}-c+15}{2}\text{, }c\in \mathrm{C}
Solve for a, b, c
a=15-c-b\text{, }b=\frac{\sqrt{-3c^{2}+30c-39}-c+15}{2}\text{, }c\in \begin{bmatrix}5-2\sqrt{3},2\sqrt{3}+5\end{bmatrix}\text{; }a=15-c-b\text{, }b=\frac{-\sqrt{-3c^{2}+30c-39}-c+15}{2}\text{, }c\in \begin{bmatrix}5-2\sqrt{3},2\sqrt{3}+5\end{bmatrix}
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