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Qudratic equalities, inequalities with parameter

Author:
Racskó Péter
Topic:
Inequalities
1. What kind of values of real parameter p have the two different real solutions of the following equation: (p-2)x^2 - (p-5)x + 1 = 0 2. Describe the values of real parameter m, so that all real numbers must be solutions of the following inequality: (m-1)x^2 + (2m+7)x + m-2 < 0

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