Difference between revisions of "2021 IMO Problems/Problem 2"
Mathhyhyhy (talk | contribs) (→Solution) |
Mathhyhyhy (talk | contribs) (→Solution) |
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<cmath>\to \sum a_i^2 + \sum\sum a_ia_j \geq 0</cmath> | <cmath>\to \sum a_i^2 + \sum\sum a_ia_j \geq 0</cmath> | ||
<cmath>Q.E.D.</cmath> | <cmath>Q.E.D.</cmath> | ||
− | --Mathhyhyhy | + | --[[User:Mathhyhyhy|Mathhyhyhy]] 13:29, 6 June 2023 (EST) |
==Video solutions== | ==Video solutions== |
Revision as of 23:29, 5 June 2023
Problem
Show that the inequality holds for all real numbers .
Solution
then, since then, therefore we have to prove that for every list [Xi], and we can describe this to we know that therefore, --Mathhyhyhy 13:29, 6 June 2023 (EST)
Video solutions
https://youtu.be/cI9p-Z4-Sc8 [Video contains solutions to all day 1 problems]
https://youtu.be/akJOPrh5sqg [uses integral]