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Quadratic Roots
Facts about quadratic roots and how they relate to the quadratic equation and the discriminant
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| 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, non-perfect square | roots are irrational |
| parabola is tangent to x-axis | roots are equal |
| parabola is above x-axis | 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 |
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