11 X1 T01 07 quadratic equations (2010)

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<ul><li> 1. Quadratic Equations </li></ul> <p> 2. Quadratic Equations If ab = 0 then either a = 0 or b = 0 3. Quadratic Equations If ab = 0 then either a = 0 or b = 0e.g. (i ) x 2 9 x 18 0 4. Quadratic EquationsIf ab = 0 then either a = 0 or b = 0e.g. (i ) x 2 9 x 18 0 x 6 x 3 0x 6 or x 3 5. Quadratic Equations If ab = 0 then either a = 0 or b = 0e.g. (i ) x 2 9 x 18 0 x 6 x 3 0x 6 or x 3(ii ) x 2 x 1 0 6. Quadratic Equations If ab = 0 then either a = 0 or b = 0e.g. (i ) x 2 9 x 18 0 x 6 x 3 0x 6 or x 3(ii ) x 2 x 1 0 1x 0 or x 2 7. Quadratic Formula 8. Quadratic Formula b b 2 4acx2a 9. Quadratic Formula b b 2 4acx2a e.g.(i ) 2 x 2 5 x 4 0 10. Quadratic Formula b b 2 4acx2a e.g.(i ) 2 x 2 5 x 4 0 5 25 32x4 11. Quadratic Formula b b 2 4acx2a e.g.(i ) 2 x 2 5 x 4 0 5 25 32x 4 5 57exactx 4 12. Quadratic Formula b b 2 4acx2a e.g.(i ) 2 x 2 5 x 4 0 5 25 32x45 57exactx4 x 3.14 or x 0.64 approximate 13. Quadratic Formula b b 2 4acx2a e.g.(i ) 2 x 2 5 x 4 0(ii ) make x the subject in 5 25 32xy x2 4 x 345 57exactx4 x 3.14 or x 0.64 approximate 14. Quadratic Formula b b 2 4acx2a e.g.(i ) 2 x 2 5 x 4 0(ii ) make x the subject in 5 25 32x y x2 4 x 34 x2 4 x 3 y 05 57exactx4 x 3.14 or x 0.64 approximate 15. Quadratic Formula b b 2 4acx2a e.g.(i ) 2 x 2 5 x 4 0(ii ) make x the subject in 5 25 32x y x2 4 x 34 x2 4 x 3 y 05 57exactx4 4 16 4 3 y x 3.14 or x 0.64 x approximate 2 16. Quadratic Formula b b 2 4acx2a e.g.(i ) 2 x 2 5 x 4 0(ii ) make x the subject in 5 25 32x y x2 4 x 34 x2 4 x 3 y 05 57exactx4 4 16 4 3 y x 3.14 or x 0.64 x approximate 24 2 4 3 y x 2 17. Quadratic Formula b b 2 4acx2a e.g.(i ) 2 x 2 5 x 4 0(ii ) make x the subject in 5 25 32xy x2 4 x 34 x2 4 x 3 y 05 57exactx44 16 4 3 y x 3.14 or x 0.64 x approximate 2 4 2 4 3 y x 2 4 2 7 y x2x 2 7 y 18. Quadratic Formula b b 2 4acx2a e.g.(i ) 2 x 2 5 x 4 0(ii ) make x the subject in 5 25 32xy x2 4 x 34 x2 4 x 3 y 05 57 exactx44 16 4 3 y x 3.14 or x 0.64 x approximate 2 4 2 4 3 y x Exercise 1G; 1ad, 2ah, 3aei, 4dhl,2 5bgl, 6bf, 7ace, 8c, 9a, 10b, 4 2 7 y x 11aceg, 12bc, 13b* 2x 2 7 y </p>