Y by
A4.
Let
be real numbers such that
.
Prove that:
and determine all the cases when the equality occurs.
Let


Prove that:
![\[
3 + (2 - \sqrt{3}) \cdot \frac{(b-c)^2}{b+(\sqrt{3}-1)c} \leq a+b+c
\]](http://latex.artofproblemsolving.com/5/a/8/5a83eaa7470bcca6546599ff4e296e4efec69b16.png)
This post has been edited 1 time. Last edited by MuradSafarli, Apr 27, 2025, 12:43 PM
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