\n please help me with this. I don’t understand what my professor is asking….\n <\/p>\n
\n my original question and answer:\n <\/p>\n
\n 15t2\u00a0+ 2t+5 = 3t(t2+1). Let’s call this is equation (1)\n <\/p>\n
\n We’ll have: \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (1) 15t2\u00a0+ 2t\u00a0+ 5 = 3t3\u00a0+ 3t\n <\/p>\n
\n 15t2\u00a0+ 2t\u00a0+ 5 – 3t3\u00a0– 3t = 0\n <\/p>\n
\n -3t3\u00a0+ 15t2\u00a0– t + 5 = 0\n <\/p>\n
\n (t-5) (-3t2-1) = 0\n <\/p>\n
\n t -5 = 0 or -3t2-1 =0\n <\/p>\n
\n t=5 or 3t2+1 = 0 (divide by -1)\n <\/p>\n
\n Consider 3t2\u00a0+ 1. We have t2\u00a0always greater or equal than 0, so 3t2\u00a0must be greater or equal than 0. Therefore, 3t2+1 must be greater than 0. Therefore, there is no value of t for the equation\u00a03t2\u00a0+ 1.\n <\/p>\n
\n Overall, there is only one value of t =5 that corrects to the (1) equation.\n <\/p>\n
\n Her reply:\n <\/p>\n
\n You are correct that there is only one real number solution of the equation, and that is t = 5. However, the exercise asks for all complex solutions, not just real number solutions.\n <\/p>\n
\n So please complete the problem by also solving the equation 3t2\u00a0+ 1 = 0 for the complex number solutions. Thanks!\n <\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"
please help me with this. I don’t understand what my professor is asking…. my original question and answer: 15t2\u00a0+ 2t+5 = 3t(t2+1). Let’s call this is equation (1) We’ll have: \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (1) 15t2\u00a0+ 2t\u00a0+ 5 = 3t3\u00a0+ 3t 15t2\u00a0+ 2t\u00a0+ 5 – 3t3\u00a0– 3t = 0 -3t3\u00a0+ 15t2\u00a0– t + 5 = 0 (t-5) (-3t2-1) […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_joinchat":[]},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/227345"}],"collection":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/comments?post=227345"}],"version-history":[{"count":0,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/227345\/revisions"}],"wp:attachment":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/media?parent=227345"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/categories?post=227345"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/tags?post=227345"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}