SIMON-MARAIS 2018 A2
- Paper A
Ada and Byron play a game. First, Ada chooses a non-zero real number and announces it. Then Byron chooses a non-zero real number and announces it. Then Ada chooses a non-zero real number and announces it. Finally, Byron chooses a quadratic polynomial whose three coefficients are in some order.
(a) Suppose that Byron wins if the quadratic polynomial has a real root and Ada wins otherwise. Determine which player has a winning strategy.
(b) Suppose that Ada wins if the quadratic polynomial has a real root and Byron wins otherwise. Determine which player has a winning strategy.
Official text Simon Marais Mathematics Competition 2018 official paper, page 2. Quoted with source.
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