Qudratic equalities, inequalities with parameter
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