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roots of quadratic
| Term | Definition |
|---|---|
| b^2-4ac>0 (perfect square) | intercepts x axis at two different points the nature of the roots are real rational unequal |
| b^2-4ac>0 (not a perfect square) | intercepts x axis at two different points the nature of the roots are real irrational unequal |
| b^2-4ac=0 | intercepts x axis at only one point the nature of the roots are real rational equal |
| b^2-4a<0 | never intercepts x axis the nature of the roots are imaginary |