满足X²-4y²=2011的整数对(x,y)的组数是

问题描述:

满足X²-4y²=2011的整数对(x,y)的组数是

x^2 + 4y^2 + 2x - 6y + 10 = 0 => (x+1)^2 + 3y^2 + (y-3)^2 = 0 => x + 1 = 0; y = 0; y - 3 = 0 => 无解