Exploring 2018 Aime Prob 5

Exploring 2018 Aime Prob 5 reveals several interesting facts.

  • If we define the angles, in degrees, Θ = Angle(z), and α = Angle(z^120) = 120•Θ {De Moivre's Theorem} ß = Angle(z^720) = 720•Θ ...
  • In this video, we solve 2013
  • Aldric from Aspiring Mathletes is going to solve
  • Problem
  • Actually, k=2, 11, 22 is the full set of possible k values. I skipped over k=2 when I first did this

In-Depth Information on 2018 Aime Prob 5

To tidy up this last detail, we need to show that the solutions we find after stripping away the logs do not force any of the log( ) ... In this QUESTION from Long Le: Why can we equate the fractional part of the numbers? I mean, couldn't you just add the integral to ... The

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