So yeah, I'm looking at British Mathematical Olympiad questions, and this one has me utterly stumped. Any ideas?
Find all integers x, y and z such that:
$\displaystyle x^2 + y^2 + z^2 = 2(yz + 1)$
And
$\displaystyle x + y + z = 4018.$
So yeah, I'm looking at British Mathematical Olympiad questions, and this one has me utterly stumped. Any ideas?
Find all integers x, y and z such that:
$\displaystyle x^2 + y^2 + z^2 = 2(yz + 1)$
And
$\displaystyle x + y + z = 4018.$