Your SlideShare is downloading. ×
6.7 other methods for solving
Upcoming SlideShare
Loading in...5
×

Thanks for flagging this SlideShare!

Oops! An error has occurred.

×
Saving this for later? Get the SlideShare app to save on your phone or tablet. Read anywhere, anytime – even offline.
Text the download link to your phone
Standard text messaging rates apply

6.7 other methods for solving

45
views

Published on

Published in: Education, Technology

0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
45
On Slideshare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
Downloads
2
Comments
0
Likes
0
Embeds 0
No embeds

Report content
Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
No notes for slide

Transcript

  • 1. 6.7 Other Methods for Solving Quadratic Equations
  • 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. 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. Example: Solve for x:
  • 5. Example: Solve for x:
  • 6. Example: Solve for x:
  • 7. You Try! Solve for x:
  • 8. Solving by Graphing Remember: a function’s zeros are its x-intercepts. Zeros happen where y = 0.
  • 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. Example 1: Solve by graphing. Round to the nearest tenth.
  • 11. Example 2: Solve by graphing:
  • 12. Example 3: Solve by graphing:
  • 13. How Many Solutions? Two Imaginary Solutions One Real Solution Two Real Solutions
  • 14. You Try! Solve by graphing:

×