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Polynomial Probability

Author: mathforces
Problem has been solved: 20 times

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Let $ f (x) = x ^ 2-3x-9 $ be given. Nil chose a certain number $ a $ in the interval from 5 (inclusive) to 15 (inclusive). Let $ p $ be the probability that $ [\sqrt {f(a)}] = \sqrt{f ([a])} $. What is $ [2020p] $ equal to?





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