Question 36
Determine if there are triples $(x, y, z)$ of real numbers such that:
$$
x + y + z = 7 \text{ and } xy + yz + zx = 11.
$$
If the answer is yes, find the minimum and maximum value of $z$ in such triples.
$$
x + y + z = 7 \text{ and } xy + yz + zx = 11.
$$
If the answer is yes, find the minimum and maximum value of $z$ in such triples.