(a) Prove that if x, y, z is a primitive Pythagorean triple in which x and z are
Chapter 12, Problem 9(choose chapter or problem)
(a) Prove that if x, y, z is a primitive Pythagorean triple in which x and z are consecutivepositive integers, thenx = 2t(t + 1) y = 2t + 1 z = 2t(t + 1) + 1for some t > 0.[Hint: The equation 1 = z - x = s2 + t2 - 2st implies thats - t = l.](b) Prove that if x, y, z is a primitive Pythagorean triple in which the difference z - y = 2,thenx = 2t y = t2 - 1 z = t2 + 1for some t > 1.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer