Question 2
(CAN 2) Prove:
(a) There are infinitely many triples of positive integers $m,n,p$ such that $4mn-m-n=p^2-1$.
(b) There are no positive integers $m,n,p$ such that $4mn-m-n=p^2$.
(a) There are infinitely many triples of positive integers $m,n,p$ such that $4mn-m-n=p^2-1$.
(b) There are no positive integers $m,n,p$ such that $4mn-m-n=p^2$.