The discriminant for a quadratic polynomial gives you information about the polynomial's roots.
Given
, the discriminant is given by 
.
There are three possible conclusions you can draw. If
, then the quadratic has two distinct real roots. If 
, then there is one repeated real root. If 
, then there are two complex (non-real) roots.
Since you found
, that means that 
has two distinct real roots.
Given
There are three possible conclusions you can draw. If
Since you found
