{"id":1974,"date":"2021-12-02T19:40:16","date_gmt":"2021-12-03T00:40:16","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-9-11\/"},"modified":"2022-11-02T10:38:50","modified_gmt":"2022-11-02T14:38:50","slug":"answer-key-9-11","status":"publish","type":"back-matter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-9-11\/","title":{"raw":"Answer Key 9.11","rendered":"Answer Key 9.11"},"content":{"raw":"First, the roots:\n<table class=\"grid\" style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 33.3333%; text-align: center;\">[latex]\\begin{array}{ccc}&amp;3&amp; \\\\ &amp;\\textbf{44}&amp; \\\\ 8&amp;&amp;4\\end{array}[\/latex]<\/td>\n<td style=\"width: 33.3333%; text-align: center;\">[latex]\\begin{array}{ccc}&amp;9&amp; \\\\ &amp;\\textbf{32}&amp; \\\\ 7&amp;&amp;2\\end{array}[\/latex]<\/td>\n<td style=\"width: 33.3333%; text-align: center;\">[latex]\\begin{array}{ccc}&amp;8&amp; \\\\ &amp;\\textbf{75}&amp; \\\\ 7&amp;&amp;\\sqrt{x} \\end{array}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCheck for pattern in the first box:\n<ol>\n \t<li>[latex]3\\cdot 8+4=28[\/latex]<\/li>\n \t<li>[latex]4\\cdot 8\\cdot 3=35[\/latex]<\/li>\n \t<li>[latex](8+3)\\cdot 4=44\\checkmark[\/latex]<\/li>\n<\/ol>\nCheck #3 pattern with the next box:\n\n[latex](7+9)\\cdot 2=32\\checkmark[\/latex]\n\nFinally:\n\n[latex]\\begin{array}{rrl}\n(7+8)\\sqrt{x}&amp;=&amp;75 \\\\ \\\\\n15\\sqrt{x}&amp;=&amp;75 \\\\ \\\\\n\\dfrac{15}{15}\\sqrt{x}&amp;=&amp;\\dfrac{75}{15} \\\\ \\\\\n\\sqrt{x}&amp;=&amp;5 \\\\ \\\\\n\\therefore (\\sqrt{x})^2&amp;=&amp;(5)^2 \\\\ \\\\\nx&amp;=&amp;25\n\\end{array}[\/latex]","rendered":"<p>First, the roots:<\/p>\n<table class=\"grid\" style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 33.3333%; text-align: center;\">[latex]\\begin{array}{ccc}&3& \\\\ &\\textbf{44}& \\\\ 8&&4\\end{array}[\/latex]<\/td>\n<td style=\"width: 33.3333%; text-align: center;\">[latex]\\begin{array}{ccc}&9& \\\\ &\\textbf{32}& \\\\ 7&&2\\end{array}[\/latex]<\/td>\n<td style=\"width: 33.3333%; text-align: center;\">[latex]\\begin{array}{ccc}&8& \\\\ &\\textbf{75}& \\\\ 7&&\\sqrt{x} \\end{array}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Check for pattern in the first box:<\/p>\n<ol>\n<li>[latex]3\\cdot 8+4=28[\/latex]<\/li>\n<li>[latex]4\\cdot 8\\cdot 3=35[\/latex]<\/li>\n<li>[latex](8+3)\\cdot 4=44\\checkmark[\/latex]<\/li>\n<\/ol>\n<p>Check #3 pattern with the next box:<\/p>\n<p>[latex](7+9)\\cdot 2=32\\checkmark[\/latex]<\/p>\n<p>Finally:<\/p>\n<p>[latex]\\begin{array}{rrl} (7+8)\\sqrt{x}&=&75 \\\\ \\\\ 15\\sqrt{x}&=&75 \\\\ \\\\ \\dfrac{15}{15}\\sqrt{x}&=&\\dfrac{75}{15} \\\\ \\\\ \\sqrt{x}&=&5 \\\\ \\\\ \\therefore (\\sqrt{x})^2&=&(5)^2 \\\\ \\\\ x&=&25 \\end{array}[\/latex]<\/p>\n","protected":false},"author":90,"menu_order":92,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"cc-by-nc-sa"},"back-matter-type":[],"contributor":[],"license":[56],"class_list":["post-1974","back-matter","type-back-matter","status-publish","hentry","license-cc-by-nc-sa"],"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1974","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":1,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1974\/revisions"}],"predecessor-version":[{"id":1975,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1974\/revisions\/1975"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1974\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1974"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter-type?post=1974"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1974"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1974"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}