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Similaire à 11 x1 t10 03 equations reducible to quadratics (2013) (14)
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11 x1 t10 03 equations reducible to quadratics (2013)
- 6. Equations Reducible To Quadratics
4 2
e.g. ( ) 4 12 0i x x
2
let m x
2 4
m x
2
4 12 0m m
6 2 0m m
- 7. Equations Reducible To Quadratics
4 2
e.g. ( ) 4 12 0i x x
2
let m x
2 4
m x
2
4 12 0m m
6 2 0m m
6 or 2m m
- 8. Equations Reducible To Quadratics
4 2
e.g. ( ) 4 12 0i x x
2
let m x
2 4
m x
2
4 12 0m m
6 2 0m m
6 or 2m m
2 2
6 or 2x x
- 9. Equations Reducible To Quadratics
4 2
e.g. ( ) 4 12 0i x x
2
let m x
2 4
m x
2
4 12 0m m
6 2 0m m
6 or 2m m
2 2
6 or 2x x
6x
- 10. Equations Reducible To Quadratics
4 2
e.g. ( ) 4 12 0i x x
2
let m x
2 4
m x
2
4 12 0m m
6 2 0m m
6 or 2m m
2 2
6 or 2x x
6x no real solutions
- 11. Equations Reducible To Quadratics
4 2
e.g. ( ) 4 12 0i x x
2
let m x
2 4
m x
2
4 12 0m m
6 2 0m m
6 or 2m m
2 2
6 or 2x x
6x no real solutions
6x
- 12. Equations Reducible To Quadratics
4 2
e.g. ( ) 4 12 0i x x
2
let m x
2 4
m x
2
4 12 0m m
6 2 0m m
6 or 2m m
2 2
6 or 2x x
6x no real solutions
6x
( ) 9 4 3 3 0x x
ii
- 13. Equations Reducible To Quadratics
4 2
e.g. ( ) 4 12 0i x x
2
let m x
2 4
m x
2
4 12 0m m
6 2 0m m
6 or 2m m
2 2
6 or 2x x
6x no real solutions
6x
( ) 9 4 3 3 0x x
ii
let 3x
m
- 14. Equations Reducible To Quadratics
4 2
e.g. ( ) 4 12 0i x x
2
let m x
2 4
m x
2
4 12 0m m
6 2 0m m
6 or 2m m
2 2
6 or 2x x
6x no real solutions
6x
( ) 9 4 3 3 0x x
ii
let 3x
m
22 2 2
3 3 3 9
xx x x
m
- 15. Equations Reducible To Quadratics
4 2
e.g. ( ) 4 12 0i x x
2
let m x
2 4
m x
2
4 12 0m m
6 2 0m m
6 or 2m m
2 2
6 or 2x x
6x no real solutions
6x
( ) 9 4 3 3 0x x
ii
let 3x
m
22 2 2
3 3 3 9
xx x x
m
2
4 3 0m m
- 16. Equations Reducible To Quadratics
4 2
e.g. ( ) 4 12 0i x x
2
let m x
2 4
m x
2
4 12 0m m
6 2 0m m
6 or 2m m
2 2
6 or 2x x
6x no real solutions
6x
( ) 9 4 3 3 0x x
ii
let 3x
m
22 2 2
3 3 3 9
xx x x
m
2
4 3 0m m
3 1 0m m
- 17. Equations Reducible To Quadratics
4 2
e.g. ( ) 4 12 0i x x
2
let m x
2 4
m x
2
4 12 0m m
6 2 0m m
6 or 2m m
2 2
6 or 2x x
6x no real solutions
6x
( ) 9 4 3 3 0x x
ii
let 3x
m
22 2 2
3 3 3 9
xx x x
m
2
4 3 0m m
3 1 0m m
3 or 1m m
- 18. Equations Reducible To Quadratics
4 2
e.g. ( ) 4 12 0i x x
2
let m x
2 4
m x
2
4 12 0m m
6 2 0m m
6 or 2m m
2 2
6 or 2x x
6x no real solutions
6x
( ) 9 4 3 3 0x x
ii
let 3x
m
22 2 2
3 3 3 9
xx x x
m
2
4 3 0m m
3 1 0m m
3 or 1m m
3 3 or 3 1x x
- 19. Equations Reducible To Quadratics
4 2
e.g. ( ) 4 12 0i x x
2
let m x
2 4
m x
2
4 12 0m m
6 2 0m m
6 or 2m m
2 2
6 or 2x x
6x no real solutions
6x
( ) 9 4 3 3 0x x
ii
let 3x
m
22 2 2
3 3 3 9
xx x x
m
2
4 3 0m m
3 1 0m m
3 or 1m m
3 3 or 3 1x x
1x
- 20. Equations Reducible To Quadratics
4 2
e.g. ( ) 4 12 0i x x
2
let m x
2 4
m x
2
4 12 0m m
6 2 0m m
6 or 2m m
2 2
6 or 2x x
6x no real solutions
6x
( ) 9 4 3 3 0x x
ii
let 3x
m
22 2 2
3 3 3 9
xx x x
m
2
4 3 0m m
3 1 0m m
3 or 1m m
3 3 or 3 1x x
1x or 0x