(a-1)*x^2+(a-3)*x-2>0 solve the inequality for all values of the parameter a
Your help:
Intepretation: \((a-1)\cdot x^2+(a-3)\cdot x-2>0\)
Solution:
\(1.a=0, x<-1 \)
\(2.a>0, x>\frac{2}{a-1}\)
\(3.a>1, x<-1\)
\(4.-1
\(5.a<-1,\space-1
(Source: http://www.wolframalpha.com/input/?i=(a-1)*x%5E2%2B(a-3)*x-2%3E0)