Question 1142038
Determine which of the conic sections is represented.

4x² + 14xy + 5y² + 18x − 6y + 30 = 0
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It's a parabola.
I graphed it.
Determining the answer by other means is tough.
IDK how to do that, but I would be interested in learning.
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I don't pretend to know everything.
I can do LaPlace transforms, Fourier series, and Heavyside expansions, tho.
IDK how to find LaGrange points of an orbit.
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Someday knowing all that might be useful, but not so far.