Question 42
Let $x$ and $y$ be real numbers satisfying $(x + 1)(y + 2) = 8$.
Show that
$$
(xy - 10)^2 \geq 64.
$$
Furthermore, determine all pairs $(x, y)$ of real numbers for which equality holds.
Show that
$$
(xy - 10)^2 \geq 64.
$$
Furthermore, determine all pairs $(x, y)$ of real numbers for which equality holds.