I’m not sure how to go about this since it’s unlike the examples I’ve seen before, using $x^2$ and $y^2$ only.
2026-05-17 04:00:46.1778990446
How to find the curve of the intersection between the cylinder $z=x^3$ and the equation of the plane $12x+z-32=0$
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The real solution to $x^3+12x-32=0$ is $x=2$, we subtitute in $12x+z=32$ then $z=8$.
The intersection is the line $(2, t, 8)$ with $t\in\mathbb{R}$