Challenging Vietnam Math Olympiad Problem on the Floor Function 🤔

Denis from @ThePhysicsMathsWizard challenges me with a question from the Vietnam Math Olympiad about the floor function... #tomrocksmaths #thephysicsmathswizard

The question asks for all positive solutions to the equation 0.9t = floor(t) / (t - floor(t)). My approach was to first rule out integer solutions and then solve for t in the range (n, n+1). This leads to a quadratic equation and a series of inequalities that need to be satisfied for the solutions to be valid.

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Produced by Dr Tom Crawford at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall: https://www.seh.ox.ac.uk/people/tom-crawford

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