11X1 t01 08 completing the square (2012)

Download 11X1 t01 08 completing the square (2012)

Post on 25-Jun-2015

2.737 views

Category:

Education

4 download

TRANSCRIPT

  • 1. Completing the Square

2. Completing the Squaree.g. (i ) x 2 6 x 7 0 3. Completing the Squaree.g. (i ) x 2 6 x 7 0 x2 6x 7move the constant 4. Completing the Squaree.g. (i ) x 2 6 x 7 0 x2 6x 7move the constantx 2 6 x 32 7 32 add half the coefficient of x squared 5. Completing the Squaree.g. (i ) x 2 6 x 7 0 x2 6x 7move the constantx 2 6 x 32 7 32 add half the coefficient of x squared x 2 6 x 9 16 x 3 162factorise to a perfect square 6. Completing the Squaree.g. (i ) x 2 6 x 7 0 x2 6x 7move the constantx 2 6 x 32 7 32 add half the coefficient of x squared x 2 6 x 9 16 x 3 162factorise to a perfect squarex 3 4 7. Completing the Squaree.g. (i ) x 2 6 x 7 0 x2 6x 7 move the constantx 2 6 x 32 7 32add half the coefficient of x squared x 2 6 x 9 16 x 3 162 factorise to a perfect squarex 3 4x 3 4 x 7 or x 1 8. (ii ) ax 2 bx c 0 9. (ii ) ax 2 bx c 0b cx2 x 0aa 10. (ii ) ax 2 bx c 0b cx2 x 0a ab c x x 2a a 11. (ii ) ax 2 bx c 0bcx2 x 0aa bc x x 2 aa22x2 x bbc b a 2a a 2a 12. (ii ) ax 2 bx c 0bcx2 x 0aa bc x x 2 aa22x2 x bbc b a 2a a 2a 2 x b c b 2 2a a 4a 2 b 2 4ac 4a 2 13. (ii ) ax 2 bx c 0bcx2 x 0aa bc x x 2 aa22x2 x bbc b a 2a a 2a 2 x b c b 2 2a a 4a 2 b 2 4ac 4a 2b b 2 4ac x2a 2a 14. (ii ) ax 2 bx c 0bcx2 x 0aa bc x x 2 aa22x2 x bbc b a 2a a 2a 2 x b c b 2 2a a 4a 2 b 2 4ac 4a 2bb 2 4ac x2a2ab b 2 4ac x 2a 15. (iii ) x 2 6 x 6 0 16. (iii ) x 2 6 x 6 0 x 3 02 17. (iii ) x 2 6 x 6 0 x 3 3 02 18. (iii ) x 2 6 x 6 0 x 3 3 0 2 x 3 3 x 3 3 0 19. (iii ) x 2 6 x 6 0 x 3 3 0 2 x 3 3 x 3 3 0x 3 3 or x 3 3 20. (iii ) x 2 6 x 6 0 x 3 3 0 2 x 3 3 x 3 3 0x 3 3 or x 3 3 Exercise 1I; 1adh, 2ch, 3adg, 4bdfh, 5bdf, 6adg, 7bc, 8*