Quadratic Equations & Inequalities
Sum & Product Of Roots
Sum of roots: 
Product of roots:

Product of roots:

Quadratic Equation From Roots

2, 1 or 0 real roots
2 real roots: 
1 real root (2 equal roots):
0 real roots:

1 real root (2 equal roots):

0 real roots:

Curve Always Positive / Negative

Line & Curve
Line intersect curve (at 2 points): 
Line tangent to curve:
Line does not intersect curve:
*Line meets curve:

Line tangent to curve:

Line does not intersect curve:

*Line meets curve:
