11-11 NOTES Discriminant

4.7 Quadratic Formula and Discriminant.notebook
November 11, 2016
Warm Up
Simplify the radical.
1. √396
Solve by the quadratic formula.
2. 3x2 + 8x + 5 = 0
3. 2x2 ­ 3x ­ 7 = 0 Answers: Quadratic Formula Worksheet
4.7 Quadratic Formula and Discriminant.notebook
Example 4.
November 11, 2016
2
x + x = - 2x + 4
1. Write the equation in standard form.
2. Find a, b, and c.
3. Plug them into the formula.
4. Solve for x.
Discriminant: b2 ­ 4ac
Example: 3x2 + 5x + 1 = 0
Find the value of the discriminant. Describe the number and type of roots.
4.7 Quadratic Formula and Discriminant.notebook
November 11, 2016
Example: x2 + 6x + 9 = 0
Find the value of the discriminant. Describe the number and type of roots.
Example: 2x2 ­ 5x + 4 = 0
Find the value of the discriminant. Describe the number and type of roots.