Question

solution of 2009x^2 - 2010xy + 2011y^2=0

Answer 1

Use the quadratic formula:

x=(2010y±√(2010²y²-16160396y²))/4018,

x=(2010y±y√-12120296)/4018 which is a complex solution involving i=√-1 (imaginary).

x=(2010y±3481.4215iy)/4018=0.50025y±0.86646iy (conjugate complexes).

Note that this gives x in terms of y.