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Pigeonhole roots (Posted on 2021-04-16) Difficulty: 3 of 5
A polynomial f(x) of degree 2000 is given. It's known that f(x2-1) has exactly 3400 real roots while f(1-x2) has exactly 2700 real roots. Prove that there exist two real roots of f(x) such that the difference between them is less than 0.002.

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
SolutionFrankM2021-04-18 11:40:51
SolutionPossible solutionJer2021-04-17 17:04:49
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