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Negative roots

Author: mathforces
Problem has been solved: 21 times

Русский язык | English Language



Let $ a $ be some real number. Consider the equation $ x^2 - x (a + 7) + a = -87 $, which has two negative roots when $ m < a < n $, for some real $ m $ and $ n $. What is the value of $ m^2 + n^2$?





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