1. Quadratic Formula You can use this formula to find the solutions(roots) to a quadratic equation. This formula can be broken up into 2 parts: b 2 – 4ac is called the Discriminant. It can tell you what the roots look like.

2. This means there are 2 real roots The quadratic has 2 x intercepts Discriminant is positive This means there is 1 real root The quadratic has 1 x intercept Discriminant is 0 This means there are 2 imaginary roots The quadratic has no x intercepts Discriminant is negative

3. Find the Discriminant and describe the type of roots: y = 3x 2 + 5x – 4 a = 3 b = 5 c = -4 (5) 2 – 4(3)(-4) = 25 + 48 = 73 2 real roots Practice finding the discriminant 5x 2 + 20x + 21 = 0

4. Quadratic Formula You can use this formula to find the solutions(roots) to a quadratic equation. This formula can be broken up into 2 parts: b 2 – 4ac is called the Discriminant. It can tell you what the roots look like.

5. Find the Discriminant and and solve for the roots: y = 3x 2 + 5x – 4 a = 3 b = 5 c = -4 (5) 2 – 4(3)(-4) = 25 + 48 = 73 2 real roots

6. Solving the roots: y = 2x 2 – 3x + 6 a = 2 b = -3 c = 6 9 – 48 = - 39 Practice solving: 3 – 8v – 5v 2 = 2vs 2 – s – 3 = s