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# 6.7 other methods for solving

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### 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: