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 Nature of Roots Based on Discriminant
 two distinct real roots, two equal real roots, no real roots
 Solutions of Quadratic Equations by Using Quadratic Formula and Nature of Roots

Two distinct real roots if b^{2} – 4ac > 0

Two equal real roots if b^{2} – 4ac = 0

No real roots if b^{2} – 4ac < 0