The discriminant of a quadratic polynomial () is a source of confusion for many students taking O Level A Maths. After explaining, students usually will understand the concept, but it remains really tricky. It is a really useful concept, and can be used here in this Math Olympiad Question:

Question:

Solution: http://www.fen.bilkent.edu.tr/~cvmath/Problem/1411a.pdf

One of the above people who answered correctly, Toshihiro Shimizu, is an IMO Gold Medalist from Japan.

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