VietaTheorem
Inequality
Intermediate
Let real numbers $a, b, c$ satisfy $a > 0$, $b>0$, $2c>a+b$, and $c^2>ab$. Prove $$c-\sqrt{c^2-ab} < a < c +\sqrt{c^2-ab}$$
The solution for this problem is available for
$0.99.
You can also purchase a pass for all available solutions for
$99.