Exercises 14.4, page 417

  1. 1. 1312

  2. 3. 10

  3. 5. 12

  4. 7. 3

  5. 9. 23

  6. 11.  − 1

  7. 13. 15

  8. 15. 4, 9

  9. 17.  ± 6

  10. 19. 12 (Extraneous root introduced in squaring both sides of x + 4 = x − 8 . )

  11. 21. 16

  12. 23. 0 ,  19

  13. 25.  − 1 ,  7

  14. 27. 0

  15. 29. 5

  16. 31. 25

  17. 33. 8

  18. 35. 4

  19. 37. 4

  20. 39. 16

  21. 41. x = 2 ;  For x = 5 ,  squaring 3 − x is squaring a negative number. A different extraneous root is introduced.

  22. 43.  − r ± r2 + R2

  23. 45. r12 = (kC + A − R12 − R22)2 + r22

  24. 47. $228,000

  25. 49. 9.2 km

  26. 51. 1.6 mi

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