\left\{ \begin{array} { l } { y = x ^ { 3 } + 9 } \\ { y = x ^ { 2 } + 1 } \end{array} \right.
Solve for y, x
x=\frac{-\sqrt[3]{6\sqrt{318}+107}-\sqrt[3]{107-6\sqrt{318}}+1}{3}\approx -1.716188659
y = \frac{{(6 \sqrt{318} + 107)} ^ {\frac{2}{3}} - 2 \sqrt[3]{6 \sqrt{318} + 107} + {(107 - 6 \sqrt{318})} ^ {\frac{2}{3}} - 2 \sqrt[3]{107 - 6 \sqrt{318}} + 12}{9} \approx 3.945303513
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