Upcoming SlideShare
×

# 6.7 other methods for solving

292 views
119 views

Published on

Published in: Education, Technology
0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

Views
Total views
292
On SlideShare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
2
0
Likes
0
Embeds 0
No embeds

No notes for slide

### 6.7 other methods for solving

1. 1. 6.7 Other Methods for Solving Quadratic Equations
2. 2. 2 More Methods So far we can solve by: ◦ Factoring ◦ Taking square roots But, these only work for some equations! Two more ways are: ◦ The Quadratic Formula ◦ Graphing
3. 3. The Quadratic Formula Works to solve ANY quadratic equation! Remember, standard form is: ax2 + bx + c = 0 Quadratic Formula: https://www.youtube.com/watch?v=YCuXiujC3KE
4. 4. Example: Solve for x:
5. 5. Example: Solve for x:
6. 6. Example: Solve for x:
7. 7. You Try! Solve for x:
8. 8. Solving by Graphing Remember: a function’s zeros are its x-intercepts. Zeros happen where y = 0.
9. 9. Solving To solve a quadratic equation in standard form, we can: 1. Change from “= 0” to “y = ” 2. Graph function on calculator. 3. Find x-intercepts.  Menu  Trace  Graph Trace
10. 10. Example 1: Solve by graphing. Round to the nearest tenth.
11. 11. Example 2: Solve by graphing:
12. 12. Example 3: Solve by graphing:
13. 13. How Many Solutions? Two Imaginary Solutions One Real Solution Two Real Solutions
14. 14. You Try! Solve by graphing: