be a polynomial with integer coefficient, It is known that 
for 
distinct integers , Then the number of integer values of 
for which 
lie on the same circle. If 
and 
,
,
or 11. However, I didn't know how to find the radius. Can anyone give me a hint?
Find the maximum positive integer 
such that for every subset 
with n elements, there always exist two elements a, b in T such that:
Y by
On sides 
of triangle 
points 
are chosen respectively, and inside the triangle point 
is chosen so that 
. Could it turn out that all three trapezoids 
, 
are tangential?
of triangle 
points 
are chosen respectively, and inside the triangle point 
is chosen so that 
. Could it turn out that all three trapezoids 
, 
are tangential?This post has been edited 1 time. Last edited by parmenides51, May 5, 2024, 3:25 PM
