Monday, September 19, 2016

Problem_13

Show that the bisectors of interior angles of a regular polygon are concurrent.

Tuesday, September 13, 2016

Problem_12

A function f has the set of real numbers not exceeding p as domain and the set of real numbers not less than q as codomain. If f is an invertible function defined by
f(x) = 1 + x(2 + 3x)
find the maximum value of p and the corresponding value of q.