Suppose that there are unequal natural numbers $a,b,c,p$,
These numbers are defined to be related by
$a^2 = \frac{-bp^2+(bc)^2}{p^2}$
1) what would be the requirements for these numbers($b,c,p$) to satisfy aforementioend relations?
2) How would we be able to minimize the value of $a$?