Technical Mathematics, Sixth Edition

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. 

6. 6y² + y − 2 = 0 1/2, −2/3

7. 3t² − 10 = 13t 5, −2/3

8. 2.73x² + 1.47x − 5.72 = 0

   8. 1.20, −1.74

   13. 1.79, −2.79

9. 

10. 3w² + 2w − 11 = 0 1.61, −2.28

11. 9 − x² = 0 ±3

12. 

13. 2x(x + 2) = x(x + 3) + 5

14. 18 + w² + 11w = 0 −2, −9

15. 9y² + y = 5 0.692, −0.803

16. 

17. 

18. 

19. 2x² + 3x = 2 1/2, −2

20. x² + Rx − R² = 0

21. 27x = 3x² − 5 −0.182, 9.18

22. 6w² + 13w + 6 = 0 −2/3, −3/2

23. 5y² = 125 ±5

24. 

25. 1.26x − 11.8 = 1.13x

26. 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

27. 5.12y² + 8.76y − 9.89 = 0

28. 3w² + 2w − 2 = 0 0.549, −1.22

29. 27.2 ...