Exercises 7.3, page 230

1. $- 3, - 2$
3. $3, - 5$
5. $- 2, - 1$
7. $\frac{1}{2} (5 \pm \sqrt{13})$
9. $- 5, 3$
11. $- 3, \frac{1}{2}$
13. $\frac{1}{6} (3 \pm \sqrt{33})$
15. $\frac{1}{4} (1 \pm \sqrt{17})$
17. $- \frac{8}{5}, \frac{5}{6}$
19. No real roots
21. $\frac{1}{6} (1 \pm \sqrt{109})$
23. $\pm \frac{9}{5}$
25. $\frac{3}{4}, - \frac{5}{8}$
27. $- 0.54, 0.74$
29. $- 0.26, 2.43$
31. $- c \pm \sqrt{c^{2} + 1}$
33. $\frac{b + 1 \pm \sqrt{- 3 b^{2} + 2 b + 4 b^{2} a + 1}}{2 b^{2}}$
35. Imaginary, unequal
37. Real, irrational, unequal
39. 4
41. $- 2, - 1, 1, 2$
43. $b^{2} - 4 a c = 729$ is a perfect square, so the equation can be solved by factoring.
45. 4.376 cm
47. 0.58 L
49. 3.1 km, 5.1 km
51. $\frac{1}{2} (1 + \sqrt{5}) = 1.618$
53. $\frac{- R \pm \sqrt{R^{2} - 4 L / C}}{2 L}$
55. 1.6 cm
57. 2.6 ft
59. 2.25 cm
61. 11.0 m by 23.8 m

Get Basic Technical Mathematics, 11th Edition now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.

Basic Technical Mathematics, 11th Edition by Allyn J. Washington, Richard Evans