set of point projection
Consider the set $$S=\{x,y,z|2x^2+y^2+z^2+xz<5\}$$ how can we find the
compact set that contains projection of the points of this set in x-y
plan? Is the following correct? the max of x when $y=0$ and $x,y,z\in S$
happens when $$4x+z=0$$ as a result we can conclude that every $x,y\in S$
also belongs to $$14x^2+y^2<5$$
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