Area of Second Smallest SquareNumber Theory Level 5
Let \((x_1,y_1)\), \((x_2,y_2)\), \((x_3,y_3)\), and \((x_4,y_4)\) be four distinct integer solutions to the equation
such that when connected, they form a square.
If this square is the second smallest possible square that can be made, then find the area of this square.
Details and Assumptions
The smallest square possible is made by the four solutions \((\pm 1, \pm 1)\). This square has area \(4\).