Originally Posted by

**Dinkydoe** No, they're not equal at all. The only thing we change is 'what' we call $\displaystyle \alpha,\beta$

We call the roots, $\displaystyle \alpha,\beta$ with $\displaystyle \alpha < -1 < \beta $

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

I hope you understand what I mean, now.