1. Applications of Quadratic Equations Slideshow 23, Mathematics Mr Richard Sasaki, Room 307

2. Objectives Recall the four methods learned in Chapter 3 for solving quadratic equations Recall the four methods learned in Chapter 3 for solving quadratic equations Apply all of these four methods to worded questions and scenarios Apply all of these four methods to worded questions and scenarios

3. The 4 Ways to Solve… We learned four methods for solving quadratic equations. What are they? Factorisation Factorisation Completing the Square Completing the Square Using the Formula Using the Formula Using Vieta’s Formulae Using Vieta’s Formulae

4. Factorisation

5. Completing the Square

6. Using the Formula

7. Vieta’s Formulae Let’s try a review!

8. Answers - Easy

9. Answers - Hard

10. Applications Two positive integers have a difference of 9 (one number is 9 larger than the other). They also have a product of 162. What are the numbers? Can we write an expression showing this? So an expression for their product is.

11. Applications Firstly, we should draw a diagram. A B C D P Q

12. Answers - Easy

13. Answers - Hard