Equations Reducible To Quadratics
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0             let m  x 2
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0             let m  x 2               m2  x 4
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0             let m  x 2               m2  x 4         m 2...
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0            let m  x 2               m2  x 4        m 2 ...
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0            let m  x 2               m2  x 4        m 2 ...
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0            let m  x 2               m2  x 4        m 2 ...
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0            let m  x 2               m2  x 4        m 2 ...
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0            let m  x 2               m2  x 4        m 2 ...
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0            let m  x 2               m2  x 4        m 2 ...
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0        (ii ) 9 x  4  3x   3  0            let m  x 2...
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0        (ii ) 9 x  4  3x   3  0            let m  x 2...
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0        (ii ) 9 x  4  3x   3  0            let m  x 2...
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0        (ii ) 9 x  4  3x   3  0            let m  x 2...
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0        (ii ) 9 x  4  3x   3  0            let m  x 2...
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0        (ii ) 9 x  4  3x   3  0            let m  x 2...
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0        (ii ) 9 x  4  3x   3  0            let m  x 2...
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0        (ii ) 9 x  4  3x   3  0            let m  x 2...
Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0        (ii ) 9 x  4  3x   3  0            let m  x 2...
Exercise 8D; 1, 2ad, 3b, 4ab, 5ac, 6a, 8abi, 9a*
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11 x1 t10 03 equations reducible to quadratics (2012)

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11 x1 t10 03 equations reducible to quadratics (2012)

  1. 1. Equations Reducible To Quadratics
  2. 2. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0
  3. 3. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 let m  x 2
  4. 4. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 let m  x 2 m2  x 4
  5. 5. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 let m  x 2 m2  x 4 m 2  4m  12  0
  6. 6. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 let m  x 2 m2  x 4 m 2  4m  12  0  m  6  m  2   0
  7. 7. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 let m  x 2 m2  x 4 m 2  4m  12  0  m  6  m  2   0 m6 or m  2
  8. 8. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 let m  x 2 m2  x 4 m 2  4m  12  0  m  6  m  2   0 m6 or m  2 x2  6 or x 2  2
  9. 9. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 let m  x 2 m2  x 4 m 2  4m  12  0  m  6  m  2   0 m6 or m  2 x2  6 or x 2  2 x 6
  10. 10. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 let m  x 2 m2  x 4 m 2  4m  12  0  m  6  m  2   0 m6 or m  2 x2  6 or x 2  2 x 6 no real solutions
  11. 11. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 let m  x 2 m2  x 4 m 2  4m  12  0  m  6  m  2   0 m6 or m  2 x2  6 or x 2  2 x 6 no real solutions x   6
  12. 12. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 (ii ) 9 x  4  3x   3  0 let m  x 2 m2  x 4 m 2  4m  12  0  m  6  m  2   0 m6 or m  2 x2  6 or x 2  2 x 6 no real solutions x   6
  13. 13. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 (ii ) 9 x  4  3x   3  0 let m  x 2 let m  3x m2  x 4 m 2  4m  12  0  m  6  m  2   0 m6 or m  2 x2  6 or x 2  2 x 6 no real solutions x   6
  14. 14. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 (ii ) 9 x  4  3x   3  0 let m  x 2 let m  3x m2  x 4 m  3   3  3   9x 2 x 2 2x 2 x m 2  4m  12  0  m  6  m  2   0 m6 or m  2 x2  6 or x 2  2 x 6 no real solutions x   6
  15. 15. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 (ii ) 9 x  4  3x   3  0 let m  x 2 let m  3x m2  x 4 m  3   3  3   9x 2 x 2 2x 2 x m 2  4m  12  0 m 2  4m  3  0  m  6  m  2   0 m6 or m  2 x2  6 or x 2  2 x 6 no real solutions x   6
  16. 16. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 (ii ) 9 x  4  3x   3  0 let m  x 2 let m  3x m2  x 4 m  3   3  3   9x 2 x 2 2x 2 x m 2  4m  12  0 m 2  4m  3  0  m  6  m  2   0  m  3 m  1  0 m6 or m  2 x2  6 or x 2  2 x 6 no real solutions x   6
  17. 17. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 (ii ) 9 x  4  3x   3  0 let m  x 2 let m  3x m2  x 4 m  3   3  3   9x 2 x 2 2x 2 x m 2  4m  12  0 m 2  4m  3  0  m  6  m  2   0  m  3 m  1  0 m6 or m  2 m  3 or m  1 x2  6 or x 2  2 x 6 no real solutions x   6
  18. 18. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 (ii ) 9 x  4  3x   3  0 let m  x 2 let m  3x m2  x 4 m  3   3  3   9x 2 x 2 2x 2 x m 2  4m  12  0 m 2  4m  3  0  m  6  m  2   0  m  3 m  1  0 m6 or m  2 m  3 or m  1 x2  6 or x 2  2 3x  3 or 3x  1 x 6 no real solutions x   6
  19. 19. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 (ii ) 9 x  4  3x   3  0 let m  x 2 let m  3x m2  x 4 m  3   3  3   9x 2 x 2 2x 2 x m 2  4m  12  0 m 2  4m  3  0  m  6  m  2   0  m  3 m  1  0 m6 or m  2 m  3 or m  1 x2  6 or x 2  2 3x  3 or 3x  1 x 6 no real solutions x 1 x   6
  20. 20. Equations Reducible To Quadraticse.g. (i ) x 4  4 x 2  12  0 (ii ) 9 x  4  3x   3  0 let m  x 2 let m  3x m2  x 4 m  3   3  3   9x 2 x 2 2x 2 x m 2  4m  12  0 m 2  4m  3  0  m  6  m  2   0  m  3 m  1  0 m6 or m  2 m  3 or m  1 x2  6 or x 2  2 3x  3 or 3x  1 x 6 no real solutions  x  1 or x  0 x   6
  21. 21. Exercise 8D; 1, 2ad, 3b, 4ab, 5ac, 6a, 8abi, 9a*

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