Upcoming SlideShare
×

233 views
124 views

Published on

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
233
On SlideShare
0
From Embeds
0
Number of Embeds
4
Actions
Shares
0
3
0
Likes
0
Embeds 0
No embeds

No notes for slide

1. 1. 1Jun 1­03:09 p.m.Quadratic equationsax2 +bx +c = 0by factorisationusing GDCby formulay = (x­2)2y = ­ x 2 + 1y = x2 ­ 2y = x2 + 3 y = (x ­ 3 )2+5y= ­ 2 x 2 + 1
2. 2. 2May 29­06:50 p.m.y= 3x(x­2) y= ­x(x­2)y= x(x­2)y= (x­1)(x+2)y= 2(x­1)(x+2)
3. 3. 3Jun 1­03:09 p.m. Quadratic EquationsBy the end of the lessson you will be able to  :• Solve quadratic equations by different methods.• Anticipate the number of solutions of a quadratic equation by studying its discriminant.
4. 4. 4Jun 1­03:09 p.m.Quadratic equationsby factorisationusing GDCby formulaby completing the square
5. 5. 5Jun 1­03:09 p.m.Solve the equation:
6. 6. 6Jun 1­03:09 p.m.Solve the equation:
7. 7. 7Jun 1­03:09 p.m.Solve the equation:
8. 8. 8Jun 1­03:09 p.m.Use the quadratic formula to solve the equation:
9. 9. 9Jun 1­03:09 p.m.Simplify and then use your GDC to solve the equation:
10. 10. 10Jun 1­03:09 p.m.Use your GDC to solve the equations:
11. 11. 11Jun 1­03:12 p.m.Unusual quadratic equations:
12. 12. 12Jun 1­03:12 p.m.Unusual quadratic equations:
13. 13. 13Jun 1­03:12 p.m.Disguised quadratic equations:
14. 14. 14Jun 1­03:12 p.m.Unusual quadratic equations
15. 15. 15Jun 1­03:12 p.m.Unusual quadratic equations:
16. 16. 16Jun 1­03:10 p.m.The quantity is called thediscriminant of the quadratic equation.Δ > 0 ⇒ Δ = 0 ⇒ Δ < 0 ⇒ the equation has two real roots.the equation has a repeated root.the equation has no real roots.qformula.wma
17. 17. 17Jun 1­03:11 p.m.Δ > 0    Δ = 0 Δ < 0 Two different  real rootsOne repeated root (or two equal roots)No   root.
18. 18. 18Jun 1­03:11 p.m.Calculate the discriminant of the quadratic expression. Hence show thatis always positive.
19. 19. 19Jun 1­03:12 p.m.Find the possible values of the constant k such that the equationhas a repeated root.
20. 20. 20Jun 1­03:13 p.m.Solve the equation
21. 21. 21Jun 1­03:13 p.m.Solve the equation                             , for 0o  ≤  x   ≤ 360o
22. 22. 22Jun 1­03:13 p.m. Find the maximum area of a rectangle which has aperimeter of 28 units.
23. 23. Attachmentsqformula.wma