{"id":163214,"date":"2024-03-01T15:40:41","date_gmt":"2024-03-01T10:10:41","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=163214"},"modified":"2024-03-01T15:40:41","modified_gmt":"2024-03-01T10:10:41","slug":"i-4x-103-5-222-212-13-ii-y-22-12y-11","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/i-4x-103-5-222-212-13-ii-y-22-12y-11\/","title":{"rendered":"I. 4x = (103\/5) + (222 – 212 + 13) II. (y + 2)2 = 12y – 11"},"content":{"rendered":"\n

I. 4x = (103\/5) + (222 – 212 + 13)<\/p>\n\n\n\n

II. (y + 2)2 = 12y – 11<\/p>\n\n\n\n

a)            x> y<\/p>\n\n\n\n

b)            y> x<\/p>\n\n\n\n

c)            x = y or relation cannot be established<\/strong><\/p>\n\n\n\n

d)            x \u2264 y<\/p>\n\n\n\n

e)            x \u2265 y<\/p>\n\n\n\n

Sol:<\/p>\n\n\n\n

I.<\/p>\n\n\n\n

4x = (103\/5) + (222 – 212 + 13)<\/p>\n\n\n\n

4x = 200 + (484 \u2013 441 + 13)<\/p>\n\n\n\n

4x = 256<\/p>\n\n\n\n

4x = 44<\/p>\n\n\n\n

x = 4<\/p>\n\n\n\n

II.<\/p>\n\n\n\n

(y + 2)2 = 12y \u2013 11<\/p>\n\n\n\n

y2 + 4 + 4y = 12y \u2013 11<\/p>\n\n\n\n

y2 \u2013 8y + 15 = 0<\/p>\n\n\n\n

y2 \u2013 5y \u2013 3y + 15 = 0<\/p>\n\n\n\n

y(y \u2013 5) \u2013 3(y \u2013 5) = 0<\/p>\n\n\n\n

y = 3 or 5<\/p>\n\n\n\n

Hence, the relationship between x and y cannot<\/p>\n\n\n\n

be established<\/p>\n","protected":false},"excerpt":{"rendered":"

I. 4x = (103\/5) + (222 – 212 + 13) II. (y + 2)2 = 12y – 11 a)            x> y b)            y> x c)            x = y or relation cannot be established d)            x \u2264 y e)            x \u2265 y Sol: I. 4x = (103\/5) + (222 – 212 + 13) 4x = 200 […]<\/p>\n","protected":false},"author":419,"featured_media":163215,"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-163214","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\/163214","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=163214"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163214\/revisions"}],"predecessor-version":[{"id":163216,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163214\/revisions\/163216"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163215"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163214"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163214"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163214"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}