{"id":163755,"date":"2024-03-07T12:44:46","date_gmt":"2024-03-07T07:14:46","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=163755"},"modified":"2024-03-07T13:22:30","modified_gmt":"2024-03-07T07:52:30","slug":"i-x2-13x-40-0-ii-y2-9y-20-0","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/i-x2-13x-40-0-ii-y2-9y-20-0\/","title":{"rendered":"I: x2 + 13x + 40 = 0 II: y2+ 9y + 20 = 0"},"content":{"rendered":"\n<p> <p class=\"MsoNormal\">Direction: Following question contains two equations as I and II. You have to solve both equations and determine the relationship between them and give answer as,<\/p> <p class=\"MsoNormal\">Q)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/p> <p class=\"MsoNormal\">I: x2 + 13x + 40 = 0 II: y2+ 9y + 20 = 0<\/p> <p class=\"MsoNormal\">A.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x &lt; y<\/p> <p class=\"MsoNormal\">B.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x > y<\/p> <p class=\"MsoNormal\"><b>C.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x \u2264 y<\/b><\/p> <p class=\"MsoNormal\">D.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x \u2265 y<\/p> <p class=\"MsoNormal\">E.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Relationship between x and y cannot be determined<\/p> <p class=\"MsoNormal\">Sol:<\/p> <p class=\"MsoNormal\">From I =>x2 + 5x + 8x + 40 = 0 <\/p> <p class=\"MsoNormal\">=>x(x + 5) + 8(x + 5) = 0 <\/p> <p class=\"MsoNormal\">=> (x + 8) (x + 5) = 0 <\/p> <p class=\"MsoNormal\">=> x = -8, -5 <\/p> <p class=\"MsoNormal\">From II =>y2 + 4y + 5y + 20 = 0 <\/p> <p class=\"MsoNormal\">=>y(y + 4) + 5(y + 4) = 0 <\/p> <p class=\"MsoNormal\">=> (y + 5) (y + 4) = 0 <\/p> <p class=\"MsoNormal\">=> y = -4, -5 <\/p> <p class=\"MsoNormal\">Hence, x \u2264 y<\/p> <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Direction: Following question contains two equations as I and II. You have to solve both equations and determine the relationship between them and give answer as, Q)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 I: x2 + 13x + 40 = 0 II: y2+ 9y + 20 = 0 A.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x &lt; y B.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x > y C.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x \u2264 y D.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":163756,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5138],"tags":[5139],"offerexpiration":[],"class_list":["post-163755","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163755","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=163755"}],"version-history":[{"count":2,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163755\/revisions"}],"predecessor-version":[{"id":163758,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163755\/revisions\/163758"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163756"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163755"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163755"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163755"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=163755"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}