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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, 2 Comments) Submitted on 2021-04-16 by Danish Ahmed Khan   
Difficulty: 3 of 5 Bonus: Common Link (in Word Problems) Rating: 3.40
All of the following words are united by a common link, can you deduce what that link is?

Sesquipedalian, Esoteric, Noun, Exists, Visible, Word, Finite.

(Solution Posted, 7 Comments) Submitted on 2006-03-03 by Dan   
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