{"id":146133,"date":"2024-09-30T11:30:27","date_gmt":"2024-09-30T11:30:27","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=146133"},"modified":"2024-09-30T11:30:30","modified_gmt":"2024-09-30T11:30:30","slug":"what-two-numbers-multiply-to-get-144-and-add-to-get-0","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/30\/what-two-numbers-multiply-to-get-144-and-add-to-get-0\/","title":{"rendered":"What two numbers multiply to get -144 and add to get 0"},"content":{"rendered":"\n<p>What two numbers multiply to get -144 and add to get 0?<\/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 find two numbers that multiply to (-144) and add to (0), we can denote the numbers as (x) and (y). From the problem, we have the following equations:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>(x + y = 0)<\/li>\n\n\n\n<li>(xy = -144)<\/li>\n<\/ol>\n\n\n\n<p>From the first equation, we can express (y) in terms of (x):<br>[ y = -x ]<\/p>\n\n\n\n<p>Next, we substitute this expression for (y) into the second equation:<br>[ x(-x) = -144 ]<br>This simplifies to:<br>[ -x^2 = -144 ]<\/p>\n\n\n\n<p>By multiplying both sides by (-1), we have:<br>[ x^2 = 144 ]<\/p>\n\n\n\n<p>Taking the square root of both sides gives us two possible values for (x):<br>[ x = 12 \\quad \\text{or} \\quad x = -12 ]<\/p>\n\n\n\n<p>Now, substituting these values back into the expression for (y):<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>If (x = 12), then (y = -12).<\/li>\n\n\n\n<li>If (x = -12), then (y = 12).<\/li>\n<\/ol>\n\n\n\n<p>Thus, the two numbers we are looking for are (12) and (-12).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>To understand why these numbers meet the criteria, we analyze both conditions:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Multiplication to -144<\/strong>: When you multiply (12) and (-12), the result is:<br>[<br>12 \\times (-12) = -144<br>]<br>This confirms that they indeed multiply to (-144).<\/li>\n\n\n\n<li><strong>Addition to 0<\/strong>: Adding these two numbers results in:<br>[<br>12 + (-12) = 0<br>]<br>This shows that they add up to (0).<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>The solution highlights an important aspect of algebra: relationships between numbers can often be defined in two ways\u2014through their product and their sum. In this case, (12) and (-12) are not only a perfect example of opposite numbers but also illustrate how two numbers can satisfy conditions that at first glance might seem contradictory, like multiplying to a negative number while summing to zero.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What two numbers multiply to get -144 and add to get 0? The Correct Answer and Explanation is : To find two numbers that multiply to (-144) and add to (0), we can denote the numbers as (x) and (y). From the problem, we have the following equations: From the first equation, we can express [&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-146133","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146133","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=146133"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146133\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=146133"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=146133"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=146133"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}