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Study Guides > College Algebra

Solutions

Solutions to Try Its

1. [latex]\sqrt{-24}=0+2i\sqrt{6}\\[/latex] 2. Graph of the plotted point, -4-i. 3. [latex]\left(3 - 4i\right)-\left(2+5i\right)=1 - 9i\\[/latex] 4. [latex]-8 - 24i\\[/latex] 5. [latex]18+i\\[/latex] 6. [latex]102 - 29i\\[/latex] 7. [latex]-\frac{3}{17}+\frac{5i}{17}\\[/latex]

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. [latex]-8+2i\\[/latex] 7. [latex]14+7i\\[/latex] 9. [latex]-\frac{23}{29}+\frac{15}{29}i\\[/latex] 11. 2 real and 0 nonreal 13. Graph of the plotted point, 1-2i. 15. Graph of the plotted point, i. 17. [latex]8-i\\[/latex] 19. [latex]-11+4i\\[/latex] 21. [latex]2 - 5i\\[/latex] 23. [latex]6+15i\\[/latex] 25. [latex]-16+32i\\[/latex] 27. [latex]-4 - 7i\\[/latex] 29. 25 31. [latex]2-\frac{2}{3}i\\[/latex] 33. [latex]4 - 6i\\[/latex] 35. [latex]\frac{2}{5}+\frac{11}{5}i\\[/latex] 37. 15i 39. [latex]1+i\sqrt{3}\\[/latex] 41. 1 43. –1 45. 128i 47. [latex]{\left(\frac{\sqrt{3}}{2}+\frac{1}{2}i\right)}^{6}=-1\\[/latex] 49. 3i 51. 0 53. 5 – 5i 55. –2i 57. [latex]\frac{9}{2}-\frac{9}{2}i\\[/latex]

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  • Precalculus. Provided by: OpenStax Authored by: Jay Abramson, et al.. Located at: https://openstax.org/books/precalculus/pages/1-introduction-to-functions. License: CC BY: Attribution. License terms: Download For Free at : http://cnx.org/contents/[email protected]..