Pell's equation
= Pell's equation
{wiki=Pell's_equation}
Pell's equation is a specific type of Diophantine equation, which is an equation that seeks integer solutions. It is typically expressed in the form: \\\[ x^2 - Dy^2 = 1 \\\] Here, \\( x \\) and \\( y \\) are integers, and \\( D \\) is a positive integer that is not a perfect square. The main objective is to find integer pairs \\((x, y)\\) that satisfy this equation.