{"id":140017,"date":"2024-09-18T07:58:55","date_gmt":"2024-09-18T07:58:55","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=140017"},"modified":"2024-09-18T07:58:58","modified_gmt":"2024-09-18T07:58:58","slug":"solve-the-equation-if-x-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/18\/solve-the-equation-if-x-3\/","title":{"rendered":"Solve the equation if X = 3"},"content":{"rendered":"\n<p>Solve the equation if X = 3<\/p>\n\n\n\n<p>3X2 &#8211; 21\/3X =<\/p>\n\n\n\n<p>A.<br>48<\/p>\n\n\n\n<p>B.<br>20<\/p>\n\n\n\n<p>C.<br>12<\/p>\n\n\n\n<p>D.<br>6<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To solve the equation (3X^2 &#8211; \\frac{21}{3}X) with (X = 3), let&#8217;s follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Substitute (X) into the equation:<\/strong> [<br>3(3)^2 &#8211; \\frac{21}{3}(3)<br>]<\/li>\n\n\n\n<li><strong>Calculate (3(3)^2):<\/strong> [<br>(3)^2 = 9<br>] [<br>3 \\times 9 = 27<br>] So, the first term becomes (27).<\/li>\n\n\n\n<li><strong>Calculate (\\frac{21}{3}(3)):<\/strong> [<br>\\frac{21}{3} = 7<br>] [<br>7 \\times 3 = 21<br>] So, the second term becomes (21).<\/li>\n\n\n\n<li><strong>Subtract the second term from the first term:<\/strong> [<br>27 &#8211; 21 = 6<br>]<\/li>\n<\/ol>\n\n\n\n<p>Thus, the value of the equation when (X = 3) is (6).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>To break this down further, the equation given is (3X^2 &#8211; \\frac{21}{3}X). The goal is to evaluate this expression for a specific value of (X).<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>First, handle the quadratic term<\/strong>: The term (3X^2) involves squaring (X), which in this case is 3. Squaring 3 gives us 9, and multiplying this by 3 results in 27.<\/li>\n\n\n\n<li><strong>Next, deal with the linear term<\/strong>: The term (\\frac{21}{3}X) simplifies to (7X). Substituting (X = 3) into (7X) results in (21).<\/li>\n\n\n\n<li><strong>Finally, perform the subtraction<\/strong>: The expression is structured as a subtraction problem between the evaluated quadratic term (27) and the linear term (21). Thus, performing the subtraction yields (6).<\/li>\n<\/ul>\n\n\n\n<p>By carefully following these steps, you can solve similar algebraic expressions by substituting values and simplifying each term. The result is a straightforward calculation showing that the answer to the given problem is (6).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solve the equation if X = 3 3X2 &#8211; 21\/3X = A.48 B.20 C.12 D.6 The correct answer and Explanation is : To solve the equation (3X^2 &#8211; \\frac{21}{3}X) with (X = 3), let&#8217;s follow these steps: Thus, the value of the equation when (X = 3) is (6). Explanation To break this down further, [&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-140017","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/140017","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=140017"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/140017\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=140017"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=140017"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=140017"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}