![$P\in\mathbb{Z}[x]$](http://latex.artofproblemsolving.com/f/3/d/f3d763f4197792a2956273485eb1e94700a43044.png)
has degree 
having 
.
is the leading coefficient of 
.
be all positive integers smaller than 
such that 
for all 
is the largest positive integer that divides both 
.
.
that satisfy 
are positive real numbers, then
Y by Adventure10, Mango247
Let 
be the center of the circumcircle of the acute triangle 
. If the circumcircle of triangle 
intersects 
(or its extension) at 
and also 
(or its extension) at 
, show that the radii of the circumcircles of 
and 
are equal.
be the center of the circumcircle of the acute triangle 
. If the circumcircle of triangle 
intersects 
(or its extension) at 
and also 
(or its extension) at 
, show that the radii of the circumcircles of 
and 
are equal.
so the reflection of 
lies on 
and the result follows.
