{"id":163277,"date":"2024-03-02T13:52:53","date_gmt":"2024-03-02T08:22:53","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=163277"},"modified":"2024-03-02T13:52:54","modified_gmt":"2024-03-02T08:22:54","slug":"i-x2-47x-480-0-ii-y-%e2%88%9a31y-240","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/i-x2-47x-480-0-ii-y-%e2%88%9a31y-240\/","title":{"rendered":"I. x2 \u2013 47x + 480 = 0 II. y = \u221a(31y \u2013 240)"},"content":{"rendered":"\n<p> <p class=\"MsoNormal\">Q. I. x2 \u2013 47x + 480 = 0<\/p> <p class=\"MsoNormal\">II. y = \u221a(31y \u2013 240)<\/p> <p class=\"MsoNormal\"><b>a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x = y or relation cannot be established<\/b><\/p> <p class=\"MsoNormal\">b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 y> x<\/p> <p class=\"MsoNormal\">c)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x \u2265 y<\/p> <p class=\"MsoNormal\">d)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x \u2264 y<\/p> <p class=\"MsoNormal\">e)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x> y<\/p> <p class=\"MsoNormal\">Sol:<\/p> <p class=\"MsoNormal\">I.<\/p> <p class=\"MsoNormal\">x2 \u2013 47x + 480 = 0 <\/p> <p class=\"MsoNormal\">x2 \u2013 32x \u2013 15x + 480 = 0 <\/p> <p class=\"MsoNormal\">x(x \u2013 32) \u2013 15(x \u2013 32) = 0 <\/p> <p class=\"MsoNormal\">x = 15 or 32 <\/p> <p class=\"MsoNormal\">II.<\/p> <p class=\"MsoNormal\">y = \u221a(31y \u2013 240) <\/p> <p class=\"MsoNormal\">y2 \u2013 31y + 240 = 0 <\/p> <p class=\"MsoNormal\">y2 \u2013 15y \u2013 16y + 240 = 0 <\/p> <p class=\"MsoNormal\">y(y \u2013 15) \u2013 16(y \u2013 15) = 0 <\/p> <p class=\"MsoNormal\">y = 16 or 15 <\/p> <p class=\"MsoNormal\">Hence, the relationship between x and y cannot <\/p> <p class=\"MsoNormal\">be established<\/p> <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. I. x2 \u2013 47x + 480 = 0 II. y = \u221a(31y \u2013 240) a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x = y or relation cannot be established b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 y> x c)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x \u2265 y d)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x \u2264 y e)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x> y Sol: I. x2 \u2013 47x + 480 = 0 x2 \u2013 32x \u2013 15x + 480 = [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":163278,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5138],"tags":[5139],"class_list":["post-163277","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\/163277","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=163277"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163277\/revisions"}],"predecessor-version":[{"id":163279,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163277\/revisions\/163279"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163278"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163277"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163277"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163277"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}