Practice and Applications

  1. 5.  − 4 ,  1

  2. 7. 3, 7

  3. 9. 13 ,   − 4

  4. 11. 12 ,  53

  5. 13. 0 ,  92

  6. 15.  − 32 ,  72

  7. 17.  − 8 ,  12

  8. 19.  − 1 ± 7

  9. 21.  − 4 ,  92

  10. 23. 18 (3 ± 41)

  11. 25. 142 ( − 23 ±  − 4091)

  12. 27. 16 ( − 2 ± 58)

  13. 29.  ± 5

  14. 31.  − 2 ± 22

  15. 33. 13 ( − 4 ± 10)

  16. 35.  − 1 ,  34

  17. 37. No real roots

  18. 39. No real roots

  19. 41.  − 3 ± 9 + 4a22a

  20. 43.  − 5 ,  6

  21. 45. 14 (1 ± 33)

  22. 47. 3 ± 7

  23. 49. 0 (3 is not a solution)

  24. 51.

    A parabola opens upward, falling through (0, negative 1) to vertex (one-fourth, negative nine-eighths).
  25. 53.

    A parabola opens downward, rising through (0, 0) to vertex (one-sixth, one-twelfth).
  26. 55.  − 3.26 ,  2.76

  27. 57. No real roots

  28. 59. x =  − 4

  29. 61. 0, L

  30. 63. 1.57

  31. 65. 17

  32. 67. 202 ° F

  33. 69. 0.6 s, 1.9 s

  34. 71. 8000

  35. 73.  − πh ± π2h2 + 2πA2π

  36. 75. 1 + r ± (1 + r)2 − 4rp22r

  37. 77.

    A parabola opens downward and begins at (0, 0), rises to approximately (3, 0.135), then falls to (6, 0).
  38. 79. 9.9 cm

  39. 81. 61 m, 81 m

  40. 83. 15.3 cm, 11.3 cm, 4.00 cm

  41. 85. 29.4 in., 52.3 in.

  42. 87. 25

  43. 89.

    The graph is a downward opening parabola where h = 6 and 18 approximately. The parabola rises from (0, 0.017) through (6, 0.205) to vertex (12, 0.268), then falls through (18, 0.205) to (24, 0.017).
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3.14.15.94