Finding the roots in a quadratic function
Thus, the roots of a quadratic function are given by,
This formula is called the quadratic formula, and its derivation is included so that you can see where it comes from. We call the term b^{2} −4ac the discriminant. The discriminant is important because it tells you how many roots a quadratic function has.
1. b^{2} −4ac < 0 There are no real roots. 2. b^{2} −4ac = 0 There is one real root. 3. b^{2} −4ac > 0 There are two real roots. |