Question 150
If $x$, $y$, $z$ and $w$ are real numbers such that
$$
x^2 + y^2 + z^2 + w^2 + x + 3y + 5z + 7w = 4,
$$
determine the largest possible value of $x + y + z + w$.
$$
x^2 + y^2 + z^2 + w^2 + x + 3y + 5z + 7w = 4,
$$
determine the largest possible value of $x + y + z + w$.