{"id":1203,"date":"2015-11-12T18:35:31","date_gmt":"2015-11-12T18:35:31","guid":{"rendered":"https:\/\/courses.candelalearning.com\/collegealgebra1xmaster\/?post_type=chapter&p=1203"},"modified":"2015-11-12T18:35:31","modified_gmt":"2015-11-12T18:35:31","slug":"solutions-45","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/atd-sanjac-collegealgebra\/chapter\/solutions-45\/","title":{"raw":"Solutions","rendered":"Solutions"},"content":{"raw":"

Solutions to Try Its<\/h2>\n1.\u00a0[latex]\\sqrt{-24}=0+2i\\sqrt{6}\\\\[\/latex]\n\n2.\n\"Graph\n\n3.\u00a0[latex]\\left(3 - 4i\\right)-\\left(2+5i\\right)=1 - 9i\\\\[\/latex]\n\n4.\u00a0[latex]-8 - 24i\\\\[\/latex]\n\n5.\u00a0[latex]18+i\\\\[\/latex]\n\n6.\u00a0[latex]102 - 29i\\\\[\/latex]\n\n7.\u00a0[latex]-\\frac{3}{17}+\\frac{5i}{17}\\\\[\/latex]\n

Solution to Odd-Numbered Exercises<\/h2>\n1.\u00a0Add the real parts together and the imaginary parts together.\n\n3.\u00a0i<\/em>\u00a0times i<\/em>\u00a0equals \u20131, which is not imaginary. (answers vary)\n\n5.\u00a0[latex]-8+2i\\\\[\/latex]\n\n7.\u00a0[latex]14+7i\\\\[\/latex]\n\n9.\u00a0[latex]-\\frac{23}{29}+\\frac{15}{29}i\\\\[\/latex]\n\n11.\u00a02 real and 0 nonreal\n\n13.\n\"Graph\n\n15.\n\"Graph\n\n17.\u00a0[latex]8-i\\\\[\/latex]\n\n19.\u00a0[latex]-11+4i\\\\[\/latex]\n\n21.\u00a0[latex]2 - 5i\\\\[\/latex]\n\n23.\u00a0[latex]6+15i\\\\[\/latex]\n\n25.\u00a0[latex]-16+32i\\\\[\/latex]\n\n27.\u00a0[latex]-4 - 7i\\\\[\/latex]\n\n29.\u00a025\n\n31.\u00a0[latex]2-\\frac{2}{3}i\\\\[\/latex]\n\n33.\u00a0[latex]4 - 6i\\\\[\/latex]\n\n35.\u00a0[latex]\\frac{2}{5}+\\frac{11}{5}i\\\\[\/latex]\n\n37. 15i<\/em>\n\n39.\u00a0[latex]1+i\\sqrt{3}\\\\[\/latex]\n\n41. 1\n\n43. \u20131\n\n45.\u00a0128i<\/em>\n\n47.\u00a0[latex]{\\left(\\frac{\\sqrt{3}}{2}+\\frac{1}{2}i\\right)}^{6}=-1\\\\[\/latex]\n\n49. 3i<\/em>\n\n51.\u00a00\n\n53.\u00a05 \u2013 5i<\/em>\n\n55. \u20132i<\/em>\n\n57.\u00a0[latex]\\frac{9}{2}-\\frac{9}{2}i\\\\[\/latex]","rendered":"

Solutions to Try Its<\/h2>\n

1.\u00a0[latex]\\sqrt{-24}=0+2i\\sqrt{6}\\\\[\/latex]<\/p>\n

2.
\n\"Graph<\/p>\n

3.\u00a0[latex]\\left(3 - 4i\\right)-\\left(2+5i\\right)=1 - 9i\\\\[\/latex]<\/p>\n

4.\u00a0[latex]-8 - 24i\\\\[\/latex]<\/p>\n

5.\u00a0[latex]18+i\\\\[\/latex]<\/p>\n

6.\u00a0[latex]102 - 29i\\\\[\/latex]<\/p>\n

7.\u00a0[latex]-\\frac{3}{17}+\\frac{5i}{17}\\\\[\/latex]<\/p>\n

Solution to Odd-Numbered Exercises<\/h2>\n

1.\u00a0Add the real parts together and the imaginary parts together.<\/p>\n

3.\u00a0i<\/em>\u00a0times i<\/em>\u00a0equals \u20131, which is not imaginary. (answers vary)<\/p>\n

5.\u00a0[latex]-8+2i\\\\[\/latex]<\/p>\n

7.\u00a0[latex]14+7i\\\\[\/latex]<\/p>\n

9.\u00a0[latex]-\\frac{23}{29}+\\frac{15}{29}i\\\\[\/latex]<\/p>\n

11.\u00a02 real and 0 nonreal<\/p>\n

13.
\n\"Graph<\/p>\n

15.
\n\"Graph<\/p>\n

17.\u00a0[latex]8-i\\\\[\/latex]<\/p>\n

19.\u00a0[latex]-11+4i\\\\[\/latex]<\/p>\n

21.\u00a0[latex]2 - 5i\\\\[\/latex]<\/p>\n

23.\u00a0[latex]6+15i\\\\[\/latex]<\/p>\n

25.\u00a0[latex]-16+32i\\\\[\/latex]<\/p>\n

27.\u00a0[latex]-4 - 7i\\\\[\/latex]<\/p>\n

29.\u00a025<\/p>\n

31.\u00a0[latex]2-\\frac{2}{3}i\\\\[\/latex]<\/p>\n

33.\u00a0[latex]4 - 6i\\\\[\/latex]<\/p>\n

35.\u00a0[latex]\\frac{2}{5}+\\frac{11}{5}i\\\\[\/latex]<\/p>\n

37. 15i<\/em><\/p>\n

39.\u00a0[latex]1+i\\sqrt{3}\\\\[\/latex]<\/p>\n

41. 1<\/p>\n

43. \u20131<\/p>\n

45.\u00a0128i<\/em><\/p>\n

47.\u00a0[latex]{\\left(\\frac{\\sqrt{3}}{2}+\\frac{1}{2}i\\right)}^{6}=-1\\\\[\/latex]<\/p>\n

49. 3i<\/em><\/p>\n

51.\u00a00<\/p>\n

53.\u00a05 \u2013 5i<\/em><\/p>\n

55. \u20132i<\/em><\/p>\n

57.\u00a0[latex]\\frac{9}{2}-\\frac{9}{2}i\\\\[\/latex]<\/p>\n\n\t\t\t

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Candela Citations<\/h3>\n\t\t\t\t\t
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