I am bothering with this geometric problem more than half a day and couldn't understand it yet. Here it is:
In orthonormal coordinate system K=Oxy we have a curve
C: $9x^2 - 4xy + 6y^2 + 6x - 8y + 2 = 0$
Find the canonical equation of the curve and the successive coordinate transformations by which the given equation is converted to canonical.
Any help would be greatly appreciated,
Thanks.
p.s.Sorry for my English