A fun discrete math problem! We were asked to find x so that fractional part of x, the floor of x and x are in geometric progression! Thanks to Shivam Verma for informing me that this is a Pre RMO problem, regional math olympiad 2017. VERY COOL!

brilliant.org:…

Thanks to mike4ty4 for suggesting this fun problem, Integral of sqrt(lnx),
Check out the imaginary error function erfi(x), https://youtu.be/zorcLisjRUI

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Solution: https://youtu.be/6dTyOl1fmDo
Light-based solution: https://youtu.be/brU5yLm9DZM
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Can one of the characters prove she is invincible and cannot die? Let's calculate the odds of surviving such an experiment.

Source
https://math.stackexchange.com/questions/2780138/there-are-4-cups-of-liquid-three-are-water-and-one-is-poison-if-you-were-to…