Question 53
If the numbers $x, y \in \mathbb{Z}$ and $2010x^2 + y^2 + 1$ and $x^2 + 2010y^2 - 1$ are perfect squares, then the pair $(x, y)$ is called a “square pair”.
Is
a. $(2009^2, 2010^2)$ a square pair?
b. Find all square pairs.
Is
a. $(2009^2, 2010^2)$ a square pair?
b. Find all square pairs.