Solve for x x2=14<\/p>\n\n\n\n
Responses<\/p>\n\n\n\n
x=\u00b118
x equals plus or minus 1 eighth<\/p>\n\n\n\n
x=\u00b112
x equals plus or minus 1 half<\/p>\n\n\n\n
x=\u00b1116
x equals plus or minus 1 sixteenth<\/p>\n\n\n\n
x=\u00b12<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To solve for ( x ) in the equation ( x^2 = 14 ), we need to isolate ( x ). The equation is a simple quadratic equation.<\/p>\n\n\n\n [ Since ( x^2 ) equals 14, to solve for ( x ), we take the square root of both sides: The square root of 14 is approximately 3.74. Since there are no perfect squares involved, the square root cannot be simplified further. Therefore, we get: This means that ( x ) can be either a positive or a negative value, and the solutions are approximately ( x = +3.74 ) or ( x = -3.74 ).<\/p>\n\n\n\n Let’s examine the options given in the problem:<\/p>\n\n\n\n Therefore, none of the provided options are correct solutions to the equation. The actual solution is ( x = \\pm \\sqrt{14} ), which is approximately ( x = \\pm 3.74 ).<\/p>\n\n\n\n The correct solution to ( x^2 = 14 ) is ( x = \\pm \\sqrt{14} ), which approximates to ( x = \\pm 3.74 ).<\/p>\n","protected":false},"excerpt":{"rendered":" Solve for x x2=14 Responses x=\u00b118x equals plus or minus 1 eighth x=\u00b112x equals plus or minus 1 half x=\u00b1116x equals plus or minus 1 sixteenth x=\u00b12 The Correct Answer and Explanation is: To solve for ( x ) in the equation ( x^2 = 14 ), we need to isolate ( x ). 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-167865","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167865","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=167865"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167865\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167865"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167865"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167865"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Begin with the given equation<\/h3>\n\n\n\n
x^2 = 14
]<\/p>\n\n\n\nStep 2: Take the square root of both sides<\/h3>\n\n\n\n
[
x = \\pm \\sqrt{14}
]<\/p>\n\n\n\nStep 3: Simplify the square root<\/h3>\n\n\n\n
[
x = \\pm 3.74
]<\/p>\n\n\n\nExplanation of the Options:<\/h3>\n\n\n\n
\n
Conclusion:<\/h3>\n\n\n\n