![\[
\frac{(x+y+z)^5 - x^5 - y^5 - z^5}{(x+y)(y+z)(z+x)} = 0
\]](http://latex.artofproblemsolving.com/7/8/f/78f8e6c2570684631dc288144e13568d71e68ec8.png)
with 
such that
.
such that 
are the lengths of a right triangle.
from the domain 
and put those numbers into the given function f(x)=1/x.It gives us 1=1/2.But it's not true.So ,it can't be one-one function.But in the answer,it is one-one function.Would anyone enlighten me where is my fault? Thank you!
Y by
In the triangle 
, on the median 
lies point 
such that 
. It is known that 
. Prove that 
, on the median 
lies point 
such that 
. It is known that 
. Prove that 
This post has been edited 1 time. Last edited by parmenides51, Dec 29, 2021, 11:44 AM
