Question 172
a. Find the maximum real number $C$, such that the inequality
$x^2 + y^2 + 1 \ge C(x + y)$
holds for all real $x$ and $y$.
b. Find the maximum real number $C$, such that the inequality
$x^2 + y^2 + xy + 1 \ge C(x + y)$
holds for all real $x$ and $y$.
$x^2 + y^2 + 1 \ge C(x + y)$
holds for all real $x$ and $y$.
b. Find the maximum real number $C$, such that the inequality
$x^2 + y^2 + xy + 1 \ge C(x + y)$
holds for all real $x$ and $y$.