MathDB

8

Part of 2006 Hanoi Open Mathematics Competitions

Problems(2)

computational without circles (2006 HOMC Junior Q8)

Source:

7/18/2019
In △ABC,PQ//BC\vartriangle ABC, PQ // BC where PP and QQ are points on ABAB and ACAC respectively. The lines PCPC and QBQB intersect at GG. It is also given EF//BCEF//BC, where G∈EF,E∈ABG \in EF, E \in AB and F∈ACF\in AC with PQ=aPQ = a and EF=bEF = b. Find value of BCBC.
geometryparallel
test HOMC 2006

Source:

1/8/2016
Find all polynomials P(x) such that P(x)+P(1/x)=x+1/x
algebrapolynomial