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Quadratic Roots
Facts about quadratic roots and how they relate to the quadratic equation and the discriminant

A  B 
discriminant is negative  roots are imaginary 
sum of the roots   b/a 
product of the roots  c/a 
discriminant is zero  roots are equal 
discriminant is perfect square  roots are rational 
discriminant is positive, nonperfect square  roots are irrational 
parabola is tangent to xaxis  roots are equal 
parabola is above xaxis  roots are imaginary 
quadratic may be factored  roots are rational 
quadratic formula yields complex number  roots are imaginary 
parabola points downward  a is negative 
parabola has 2 x intercepts  roots are real 

 