What are all the integer solutions (x,y)(x, y)(x,y) to the Diophantine equation x2−y2=1x^2 - y^2 = 1x2−y2=1?
(1,0)(1, 0)(1,0) and (−1,0)(-1, 0)(−1,0)
(0,1)(0, 1)(0,1) and (0,−1)(0, -1)(0,−1)
(1,1)(1, 1)(1,1) and (−1,−1)(-1, -1)(−1,−1)
There are no integer solutions.