2020 AIME II Problems/Problem 11
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Contents
Problem
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 $R(0) = \fracmn$ (Error compiling LaTeX. Unknown error_msg), where 
and 
are relatively prime positive integers. Find 
.
Solution
Video Solution
https://youtu.be/BQlab3vjjxw ~ CNCM
