## Calculus (3rd Edition)

Comparing the given equation with the standard equation $$a x^{2}+b x y+c y^{2}+d x+e y+f=0$$ we get $a=4,b=5,c=7$. Now, we check the discriminant $$D=b^2-4ac=25-112=-87\lt 0$$ Since the discriminant is negative, the conic section is an ellipse.