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Technical Mathematics, Sixth Edition by Michael A. Calter Ph.D., Paul A. Calter

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12.4. CHAPTER 12 REVIEW PROBLEMS

Solve each equation. Give any approximate answers to three significant digits.

  1. y2 − 5y − 6 = 0, 6, −1

  2. 2x2 − 5x = 2 (2.85, −0.351)

  3. w2 − 5w = 0 0, 5

  4. x(x − 2) = 2(−2 − x + x2) ±2

  5. 6y2 + y − 2 = 0 1/2, −2/3

  6. 3t2 − 10 = 13t 5, −2/3

  7. 2.73x2 + 1.47x − 5.72 = 0

    8. 1.20, −1.74

    13. 1.79, −2.79

  8. 3w2 + 2w − 11 = 0 1.61, −2.28

  9. 9 − x2 = 0 ±3

  10. 2x(x + 2) = x(x + 3) + 5

  11. 18 + w2 + 11w = 0 −2, −9

  12. 9y2 + y = 5 0.692, −0.803

  13. 2x2 + 3x = 2 1/2, −2

  14. x2 + RxR2 = 0

  15. 27x = 3x2 − 5 −0.182, 9.18

  16. 6w2 + 13w + 6 = 0 −2/3, −3/2

  17. 5y2 = 125 ±5

  18. 1.26x − 11.8 = 1.13x

  19. 2.62z2 + 4.73z − 5.82 = 0 0.840, −2.65

    25. 3.54, −2.64

    27. 0.777, −2.49

    Figure 12.14. FIGURE 12-14
  20. 5.12y2 + 8.76y − 9.89 = 0

  21. 3w2 + 2w − 2 = 0 0.549, −1.22

  22. 27.2 ...

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