Solve x2+5x+6=y2x^2 + 5x + 6 = y^2x2+5x+6=y2 for integer solutions.
Only (x,y)=(−2,0)(x, y) = (-2, 0)(x,y)=(−2,0) and (−3,0)(-3, 0)(−3,0)
Infinitely many
No solutions
Only (0,±6)(0, \pm 6)(0,±6)