1. Solving Equations That Are Quadratic in Form 11.3 1.Solve equations by rewriting them in quadratic form. 2.Solve equations that are quadratic in form by using substitution. 3.Solve application problems using equations that are quadratic in form.

3. Solve: Fractions LCD Clear Fractions LCD: 5(y – 5)(y + 5) R: y ≠ 5, y ≠ -5 Restrictions Linear or quadratic?

4. Solve: Square Root Isolate Check solutions Check: Linear or quadratic? Check: True False

5. Solve: Fractions LCD Clear Fractions LCD: m (m – 1) R: m ≠ 0, m ≠ 1 Restrictions Linear or quadratic?

6. a = 9, b = 3, c = -8 9*33 1 1 6

7. Solve: Fractions LCD Clear Fractions LCD: x 2 R: x ≠ 0 Restrictions Linear or quadratic? x 1

8. Slide 11- 8 Copyright © 2011 Pearson Education, Inc. Solve the equation. a)  9i b) 3i c)  3i d)  3 11.3

9. Slide 11- 9 Copyright © 2011 Pearson Education, Inc. Solve the equation. a)  9i b) 3i c)  3i d)  3 11.3

10. Slide 11- 10 Copyright © 2011 Pearson Education, Inc. Solve the equation. a) 2, 6 b) c) d) 11.3

11. Slide 11- 11 Copyright © 2011 Pearson Education, Inc. Solve the equation. a) 2, 6 b) c) d) 11.3

12. Solve: Let u = (x – 3) 1 st Substitution x – 3 = – 5 x – 3 = 3 2 nd Substitution x = – 2x = 6 Repeated binomial Substitution Goal: x = Make a simpler problem Find the final solution.

13. Solve: Let u = (x 2 – 2x) 1 st Substitution 2 nd Substitution Repeated binomial Substitution Goal: x =

14. Solve: Let u = x 2 1 st Substitution 2 nd Substitution First exponent is double the exponent of the middle term 4 solutions (x 2 ) 2

15. Slide 11- 15 Copyright © 2011 Pearson Education, Inc. Solve the equation. a) b) c) d) 11.3

16. Slide 11- 16 Copyright © 2011 Pearson Education, Inc. Solve the equation. a) b) c) d) 11.3