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Hướng dẫn học tập > MATH 1314: College Algebra

Solutions

Solutions to Try Its

1. −24=0+2i6\sqrt{-24}=0+2i\sqrt{6}\\ 2. Graph of the plotted point, -4-i. 3. (3−4i)−(2+5i)=1−9i\left(3 - 4i\right)-\left(2+5i\right)=1 - 9i\\ 4. −8−24i-8 - 24i\\ 5. 18+i18+i\\ 6. 102−29i102 - 29i\\ 7. −317+5i17-\frac{3}{17}+\frac{5i}{17}\\

Solution to Odd-Numbered Exercises

1. Add the real parts together and the imaginary parts together. 3. i times i equals –1, which is not imaginary. (answers vary) 5. −8+2i-8+2i\\ 7. 14+7i14+7i\\ 9. −2329+1529i-\frac{23}{29}+\frac{15}{29}i\\ 11. 2 real and 0 nonreal 13. Graph of the plotted point, 1-2i. 15. Graph of the plotted point, i. 17. 8−i8-i\\ 19. −11+4i-11+4i\\ 21. 2−5i2 - 5i\\ 23. 6+15i6+15i\\ 25. −16+32i-16+32i\\ 27. −4−7i-4 - 7i\\ 29. 25 31. 2−23i2-\frac{2}{3}i\\ 33. 4−6i4 - 6i\\ 35. 25+115i\frac{2}{5}+\frac{11}{5}i\\ 37. 15i 39. 1+i31+i\sqrt{3}\\ 41. 1 43. –1 45. 128i 47. (32+12i)6=−1{\left(\frac{\sqrt{3}}{2}+\frac{1}{2}i\right)}^{6}=-1\\ 49. 3i 51. 0 53. 5 – 5i 55. –2i 57. 92−92i\frac{9}{2}-\frac{9}{2}i\\

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