Math Olympiad Question with @ThePhysicsMathsWizard

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. Check out Denis's channel ‪@ThePhysicsMathsWizard‬ here:    / thephysicsmathswizard   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-c... For more maths content check out Tom's website https://tomrocksmaths.com/ You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.   / tomrocksmaths     / tomrocksmaths     / tomrocksmaths   Get your Tom Rocks Maths merchandise here: https://beautifulequations.net/collec...