Which choice correctly shows the solution(s) of the equation x2 = 400?<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To solve the equation (x^2 = 400), we need to find the values of (x) that satisfy this equation.<\/p>\n\n\n\n The equation is already in the form (x^2 = 400).<\/p>\n\n\n\n To find (x), we take the square root of both sides. However, when taking the square root in algebra, it is essential to consider both the positive and negative roots:<\/p>\n\n\n\n [ Calculating the square root of 400 gives:<\/p>\n\n\n\n [ Thus, the solutions to the equation are:<\/p>\n\n\n\n [ The complete solution set can be expressed as (x = \\pm 20). This means there are two solutions: (x = 20) and (x = -20). Both values satisfy the original equation when substituted back into (x^2 = 400):<\/p>\n\n\n\n [ [ The equation (x^2 = 400) has two solutions: (x = 20) and (x = -20). This reflects the property of quadratic equations, which often yield two solutions due to the nature of squaring a number, where both a positive and a negative value can produce the same result when squared. Thus, the correct answer indicating the solutions is (x = 20) and (x = -20).<\/p>\n","protected":false},"excerpt":{"rendered":" Which choice correctly shows the solution(s) of the equation x2 = 400? The Correct Answer and Explanation is: To solve the equation (x^2 = 400), we need to find the values of (x) that satisfy this equation. Step 1: Isolate (x^2) The equation is already in the form (x^2 = 400). Step 2: Take the […]<\/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-157296","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/157296","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=157296"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/157296\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=157296"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=157296"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=157296"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Isolate (x^2)<\/h3>\n\n\n\n
Step 2: Take the square root of both sides<\/h3>\n\n\n\n
x = \\sqrt{400} \\quad \\text{and} \\quad x = -\\sqrt{400}
]<\/p>\n\n\n\nStep 3: Calculate the square root<\/h3>\n\n\n\n
\\sqrt{400} = 20
]<\/p>\n\n\n\nStep 4: Write the solutions<\/h3>\n\n\n\n
x = 20 \\quad \\text{and} \\quad x = -20
]<\/p>\n\n\n\nConclusion<\/h3>\n\n\n\n
\n
20^2 = 400
]<\/p>\n\n\n\n\n
(-20)^2 = 400
]<\/p>\n\n\n\nSummary<\/h3>\n\n\n\n