Question 9
Determine if there are positive integers $x$, $y$, $z$ such that the product $(x + y)(y + z)(z + x)$ is equal to:
a) $6767$
b) $7676$
c) $6776$
In each case, if the answer is affirmative, find all the ordered triples $(x, y, z)$ that satisfy the condition.
a) $6767$
b) $7676$
c) $6776$
In each case, if the answer is affirmative, find all the ordered triples $(x, y, z)$ that satisfy the condition.