x^2 = a^2 + 4b + 1
y^2 = b^2 + 4c + 1
z^2 = c^2 + 4a + 1
a, b, c, x, y, z are all positive integers
a > b > c
x > y > z
What are the values of the six integers?
(There is a really neat algebraic trick you can use here. First see if you can calculate x in terms of a).