AOIME 2020 Proposal
by djmathman, Jun 8, 2020, 12:00 AM
Still have yet to crack the single digits!
AOIME 11 (May 2018). Let
, and let 
and 
be two quadratic polynomials also with the coefficient of 
equal to 
. David computes each of the three sums 
, 
, and 
and is surprised to find that each pair of these sums has a common root, and these three common roots are distinct. If 
, then 
, where 
and 
are relatively prime positive integers. Find 
.
(Though honestly, given the discussion in Contests and Programs, maybe I should invest more time into writing easier AIME questions....)
AOIME 11 (May 2018). Let
, and let 
and 
be two quadratic polynomials also with the coefficient of 
equal to 
. David computes each of the three sums 
, 
, and 
and is surprised to find that each pair of these sums has a common root, and these three common roots are distinct. If 
, then 
, where 
and 
are relatively prime positive integers. Find 
.(Though honestly, given the discussion in Contests and Programs, maybe I should invest more time into writing easier AIME questions....)
April 2025
November 2024