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Mathematics, 30.06.2021 21:30 leigha54

I can't understand how to solve this question, can you help me? A whiteboard has positive real numbers 1 and m written on it. Every second, if the numbers x and y are on the white board, a ghost will replace those numbers with Ix^2 -y^2I and 2xy. The ghost stops once one number on the white board is m times the other. For how many positive real numbers m does the ghost stop after exactly 16 seconds.

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