{"id":1744,"date":"2019-08-08T13:53:11","date_gmt":"2019-08-08T17:53:11","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=1744"},"modified":"2019-08-08T14:01:37","modified_gmt":"2019-08-08T18:01:37","slug":"answer-key-9-11","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-9-11\/","title":{"raw":"Answer Key 9.11","rendered":"Answer Key 9.11"},"content":{"raw":"[latexpage]\r\n\r\nFirst, the roots:\r\n\r\n\\[\\begin{tabular}{|c|c|c|}\r\n\\hline\r\n\\begin{array}{ccc}&3& \\\\ &\\textbf{44}& \\\\ 8&&4\\end{array}&\r\n\\begin{array}{ccc}&9& \\\\ &\\textbf{32}& \\\\ 7&&2\\end{array}&\r\n\\begin{array}{ccc}&8& \\\\ &\\textbf{75}& \\\\ 7&&\\sqrt{x} \\end{array}\\\\\r\n\\hline\r\n\\end{tabular}\\]\r\n\r\nCheck for pattern in the first box:\r\n
    \r\n \t
  1. \\(3\\cdot 8+4=28\\)<\/li>\r\n \t
  2. \\(4\\cdot 8\\cdot 3=35\\)<\/li>\r\n \t
  3. \\((8+3)\\cdot 4=44\\checkmark\\)<\/li>\r\n<\/ol>\r\nCheck #3 pattern with the next box:\r\n\r\n\\[(7+9)\\cdot 2=32\\checkmark\\]\r\n\r\nFinally:\r\n\r\n\\[\\begin{array}{rrl}\r\n(7+8)\\sqrt{x}&=&75 \\\\ \\\\\r\n15\\sqrt{x}&=&75 \\\\ \\\\\r\n\\dfrac{15}{15}\\sqrt{x}&=&\\dfrac{75}{15} \\\\ \\\\\r\n\\sqrt{x}&=&5 \\\\ \\\\\r\n\\therefore (\\sqrt{x})^2&=&(5)^2 \\\\ \\\\\r\nx&=&25\r\n\\end{array}\\]","rendered":"

    First, the roots:<\/p>\n

      <\/span>   <\/span>\"\[\begin{tabular}{|c|c|c|}<\/p>\n

    Check for pattern in the first box:<\/p>\n

      \n
    1. \"3\cdot 8+4=28\"<\/li>\n
    2. \"4\cdot 8\cdot 3=35\"<\/li>\n
    3. \"(8+3)\cdot 4=44\checkmark\"<\/li>\n<\/ol>\n

      Check #3 pattern with the next box:<\/p>\n

        <\/span>   <\/span>\"\[(7+9)\cdot 2=32\checkmark\]\"<\/p>\n

      Finally:<\/p>\n

        <\/span>   <\/span>\"\[\begin{array}{rrl}<\/p>\n","protected":false},"author":727,"menu_order":87,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-1744","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1744","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/users\/727"}],"version-history":[{"count":3,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1744\/revisions"}],"predecessor-version":[{"id":1748,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1744\/revisions\/1748"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1744\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=1744"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter-type?post=1744"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=1744"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=1744"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}