{"id":166440,"date":"2024-04-06T11:07:56","date_gmt":"2024-04-06T05:37:56","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=166440"},"modified":"2024-04-06T11:07:57","modified_gmt":"2024-04-06T05:37:57","slug":"if-4x-3y-9-3x-7y-8-is-equal-to-ax%c2%b2-by%c2%b2-cxy-dx-ey-f","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/if-4x-3y-9-3x-7y-8-is-equal-to-ax%c2%b2-by%c2%b2-cxy-dx-ey-f\/","title":{"rendered":"If (4x + 3y + 9) (3x + 7y \u2013 8) is equal to ax\u00b2 + by\u00b2 + cxy + dx + ey \u2013 f"},"content":{"rendered":"\n<p>If (4x + 3y + 9) (3x + 7y \u2013 8) is equal to ax\u00b2 + by\u00b2 + cxy + dx + ey \u2013 f, Find the value of&nbsp; a+b+c\/d-e\u00f7f<\/p>\n\n\n\n<p>a) -8.43<\/p>\n\n\n\n<p>b) -9.84<\/p>\n\n\n\n<p>c) -3.64<\/p>\n\n\n\n<p><strong>d) -2.67<\/strong><\/p>\n\n\n\n<p>&nbsp;Sol:<\/p>\n\n\n\n<p>(4x + 3y + 9) (3x + 7y \u2013 8) =<\/p>\n\n\n\n<p>21y\u00b2 + 12x\u00b2 + 37xy \u2013 5x + 39y \u2013 72 = equation.<\/p>\n\n\n\n<p>a = 12<\/p>\n\n\n\n<p>b = 21<\/p>\n\n\n\n<p>c = 37<\/p>\n\n\n\n<p>d = -5<\/p>\n\n\n\n<p>e = 39 f = 72<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"312\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-132-1024x312.png\" alt=\"\" class=\"wp-image-166441\" style=\"width:240px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-132-1024x312.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-132-300x91.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-132-766x233.png 766w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-132-1536x467.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-132-2048x623.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-132-493x150.png 493w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-132-100x30.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-132-1151x350.png 1151w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-132-788x239.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-132.png 309w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>If (4x + 3y + 9) (3x + 7y \u2013 8) is equal to ax\u00b2 + by\u00b2 + cxy + dx + ey \u2013 f, Find the value of&nbsp; a+b+c\/d-e\u00f7f a) -8.43 b) -9.84 c) -3.64 d) -2.67 &nbsp;Sol: (4x + 3y + 9) (3x + 7y \u2013 8) = 21y\u00b2 + 12x\u00b2 + 37xy [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":166442,"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-166440","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\/166440","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=166440"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166440\/revisions"}],"predecessor-version":[{"id":166443,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166440\/revisions\/166443"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/166442"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=166440"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=166440"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=166440"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}