The length of an implicit curve
Problem 10
Find the length of the curve, given by the equations
$$
\begin{aligned}
F_1(x,y,z)&=x^4+y^2/2+z^2=12\\
F_2(x,y,z)&=x^2+y^2-4z^2=8.
\end{aligned}
$$
Find the length of the curve, given by the equations