Difference between revisions of "2023 SSMO Accuracy Round Problems/Problem 6"
(Created page with "==Problem== Let the roots of <math>P(x) = x^3 - 2023x^2 + 2023^{2023}</math> be <math>p, q, r</math>. Find <cmath>\frac{p^2 + q^2}{p + q} + \frac{q^2 + r^2}{q + r} + \frac{r^2...") |
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Revision as of 22:21, 15 December 2023
Problem
Let the roots of 
be 
.
Find
![\[\frac{p^2 + q^2}{p + q} + \frac{q^2 + r^2}{q + r} + \frac{r^2 + p^2}{r + p}\]](http://latex.artofproblemsolving.com/f/1/1/f119d98353bd71a916810df7e9ac9fa4da36b5ca.png)
