2013 UMO Problems/Problem 5
Cooper and Malone take turns replacing , , and in the equation below with real numbers. Once a coefficient has been replaced, no one can choose to change that coefficient on their turn. The game ends when all three coefficients have been chosen. Malone wins if has a non-real root and Cooper wins otherwise. If Malone goes first, find the person who has a winning strategy and describe it with proof.
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