Work Step by Step
Given $4x^2+y^2+32x-10y+85=0$ We can see that $a=4\\b=0\\c=1$ We will find the discriminant of the given equation $=b^2-4ac\\=0^2-4(4)(1)\\=-16$ Since $-16\lt0$ and $a\ne c$, the conic section is an Ellipse.
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