No, they're not equal at all. The only thing we change is 'what' we callCan \alpha=\beta ?I thought its stated clearly that

\alpha<-1<\beta

We call the roots, with

We simply call , the smallest of the 2 roots, and the other. Thus if the inequality '<' flips into '>' due to a negative sign, then we only change what we call . Perhaps, I was unclear.

I hope you understand what I mean, now.