{"id":249483,"date":"2025-07-09T12:48:30","date_gmt":"2025-07-09T12:48:30","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=249483"},"modified":"2025-07-09T12:48:32","modified_gmt":"2025-07-09T12:48:32","slug":"check-whether-2-root-2-3-root-2-is-a-solution-of-3y-2x-1-or-not","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/09\/check-whether-2-root-2-3-root-2-is-a-solution-of-3y-2x-1-or-not\/","title":{"rendered":"Check whether (2 root 2, 3 root 2) is a solution of 3y-2x = 1 or not"},"content":{"rendered":"\n<p>Check whether (2 root 2, 3 root 2) is a solution of 3y-2x = 1 or not<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Let&#8217;s check whether the point (22,32)(2\\sqrt{2}, 3\\sqrt{2}) satisfies the equation 3y\u22122x=13y &#8211; 2x = 1.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Given:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>x=22x = 2\\sqrt{2}<\/li>\n\n\n\n<li>y=32y = 3\\sqrt{2}<\/li>\n\n\n\n<li>Equation: 3y\u22122x=13y &#8211; 2x = 1<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Calculation:<\/h3>\n\n\n\n<p>Substitute x=22x = 2\\sqrt{2} and y=32y = 3\\sqrt{2} into the equation: 3(32)\u22122(22)=13(3\\sqrt{2}) &#8211; 2(2\\sqrt{2}) = 1<\/p>\n\n\n\n<p>Simplifying each term:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3(32)=923(3\\sqrt{2}) = 9\\sqrt{2}<\/li>\n\n\n\n<li>2(22)=422(2\\sqrt{2}) = 4\\sqrt{2}<\/li>\n<\/ul>\n\n\n\n<p>Now substitute these values back into the equation: 92\u221242=19\\sqrt{2} &#8211; 4\\sqrt{2} = 1<\/p>\n\n\n\n<p>Combine like terms: (92\u221242)=52(9\\sqrt{2} &#8211; 4\\sqrt{2}) = 5\\sqrt{2}<\/p>\n\n\n\n<p>Thus, the left-hand side simplifies to 525\\sqrt{2}, and we need to check if this equals 1.<\/p>\n\n\n\n<p>Since 52\u226015\\sqrt{2} \\neq 1 (as 525\\sqrt{2} is a numerical value greater than 1), the equation does not hold true.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The point (22,32)(2\\sqrt{2}, 3\\sqrt{2}) is <strong>not<\/strong> a solution to the equation 3y\u22122x=13y &#8211; 2x = 1.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Check whether (2 root 2, 3 root 2) is a solution of 3y-2x = 1 or not The correct answer and explanation is: Let&#8217;s check whether the point (22,32)(2\\sqrt{2}, 3\\sqrt{2}) satisfies the equation 3y\u22122x=13y &#8211; 2x = 1. Given: Step-by-Step Calculation: Substitute x=22x = 2\\sqrt{2} and y=32y = 3\\sqrt{2} into the equation: 3(32)\u22122(22)=13(3\\sqrt{2}) &#8211; 2(2\\sqrt{2}) [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","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-5)","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-5)","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-5)","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":[25],"tags":[],"class_list":["post-249483","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249483","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=249483"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249483\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=249483"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=249483"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=249483"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}