Basic Technical Mathematics, 11th Edition

Practice and Applications

1. 5. $\hspace{0.17em}-\hspace{0.17em}4\hspace{0.17em},\hspace{0.17em}1$

2. 7. 3, 7

3. 9. ${\displaystyle \frac{1}{3}}\hspace{0.17em},\hspace{0.17em}\hspace{0.17em}-\hspace{0.17em}4$

4. 11. ${\displaystyle \frac{1}{2}}\hspace{0.17em},\hspace{0.17em}{\displaystyle \frac{5}{3}}$

5. 13. $0\hspace{0.17em},\hspace{0.17em}{\displaystyle \frac{9}{2}}$

6. 15. $\hspace{0.17em}-\hspace{0.17em}{\displaystyle \frac{3}{2}}\hspace{0.17em},\hspace{0.17em}{\displaystyle \frac{7}{2}}$

7. 17. $\hspace{0.17em}-\hspace{0.17em}8\hspace{0.17em},\hspace{0.17em}12$

8. 19. $\hspace{0.17em}-\hspace{0.17em}1\hspace{0.17em}\pm \hspace{0.17em}\sqrt{7}$

9. 21. $\hspace{0.17em}-\hspace{0.17em}4\hspace{0.17em},\hspace{0.17em}{\displaystyle \frac{9}{2}}$

10. 23. ${\displaystyle \frac{1}{8}}(3\hspace{0.17em}\pm \hspace{0.17em}\sqrt{41})$

11. 25. ${\displaystyle \frac{1}{42}}(\hspace{0.17em}-\hspace{0.17em}23\hspace{0.17em}\pm \hspace{0.17em}\sqrt{\hspace{0.17em}-\hspace{0.17em}4091})$

12. 27. ${\displaystyle \frac{1}{6}}(\hspace{0.17em}-\hspace{0.17em}2\hspace{0.17em}\pm \hspace{0.17em}\sqrt{58})$

13. 29. $\hspace{0.17em}\pm \hspace{0.17em}\sqrt{5}$

14. 31. $\hspace{0.17em}-\hspace{0.17em}2\hspace{0.17em}\pm \hspace{0.17em}2\sqrt{2}$

15. 33. ${\displaystyle \frac{1}{3}}(\hspace{0.17em}-\hspace{0.17em}4\hspace{0.17em}\pm \hspace{0.17em}\sqrt{10})$

16. 35. $\hspace{0.17em}-\hspace{0.17em}1\hspace{0.17em},\hspace{0.17em}{\displaystyle \frac{3}{4}}$

17. 37. No real roots

18. 39. No real roots

19. 41. ${\displaystyle \frac{\hspace{0.17em}-\hspace{0.17em}3\hspace{0.17em}\pm \hspace{0.17em}\sqrt{9\hspace{0.17em}+\hspace{0.17em}4a^2}}{2a}}$

20. 43. $\hspace{0.17em}-\hspace{0.17em}5\hspace{0.17em},\hspace{0.17em}6$

21. 45. ${\displaystyle \frac{1}{4}}(1\hspace{0.17em}\pm \hspace{0.17em}\sqrt{33})$

22. 47. $3\hspace{0.17em}\pm \hspace{0.17em}\sqrt{7}$

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

24. 51.

    

25. 53.

    

26. 55. $\hspace{0.17em}-\hspace{0.17em}3.26\hspace{0.17em},\hspace{0.17em}2.76$

27. 57. No real roots

28. 59. $x\hspace{0.17em}=\hspace{0.17em}\hspace{0.17em}-\hspace{0.17em}4$

29. 61. 0, L

30. 63. 1.57

31. 65. 17

32. 67. $202\hspace{0.17em}°\hspace{0.17em}\text{F}$

33. 69. 0.6 s, 1.9 s

34. 71. 8000

35. 73. ${\displaystyle \frac{\hspace{0.17em}-\hspace{0.17em}\pi h\hspace{0.17em}\pm \hspace{0.17em}\sqrt{{\pi }^2{h}^2\hspace{0.17em}+\hspace{0.17em}2\pi A}}{2\pi }}$

36. 75. ${\displaystyle \frac{1\hspace{0.17em}+\hspace{0.17em}}{}}$