Quadratic Equations

Solving quadratic equations by factorisation

Exercise

  1. Determine whether x = 1/2 and x = 3/2 are the solutions of the quadratic 2x² -5x +3 = 0 or not.

     Solve the following quadratic equations by factorisation:

  1. 4x² = 3x
  2. x²-5 x   = 0
  3. x (2x +1) = 6
  4. x² -3x -10 = 0
  5. 3x² -5x -12 = 0
  6. x² -2x +1 = 0
  7. 3x² = x +4
  8. 2 x² -x = 3
  9. 6 +x -x² = 0
  10. 4x² +4x +1 = 0
  11. (x -3)(2x +5) = 0
  12. (x +2)(x -3) = 6
  13. x +1/x = 41/20
  14. 3x -8/x = 2
  15. (x +2)/(x +3) = (2 x -3)/(3 x - 7)
  16. 8/(x +3) - 3/(2 -x) = 2

Answers

1. x = 1/2 is not a solution; x = 3/2 is a solution.
2. 0, 3/4               3. 0, 5           4. -2, 3/2
5. -2, 5                6. 3, -4/3        7. 1, 1
8. -1, 4/3             9. -1, 3/2       10. -2, 3
11. -1/2, -1/2     12. 3, -5/2      13. -3, 4
14. 4/5, 5/4         15. 2, - 4/3 .   16. -1, 5
17. -1/2, 5