Rewrite the equation in terms of u.
(u
2
+3)u\u22122=0<\/p>\n\n\n\n
u
2
u\u22122=0<\/p>\n\n\n\n
(u
2
+9)u\u22122=0<\/p>\n\n\n\n
u
2
u+1=0<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n It seems there\u2019s a bit of confusion in the way the equations are written here. Let\u2019s clarify and rewrite each one correctly before finding a solution.<\/p>\n\n\n\n Starting with the possible intended equation formats, let’s consider four equations separately:<\/p>\n\n\n\n We\u2019ll go through each equation individually to determine which one could be rewritten and solved.<\/p>\n\n\n\n From these, Equation 2: (u^2 \\cdot u – 2 = 0)<\/strong> provides a straightforward answer, with ( u = \\sqrt[3]{2} ) as the real root. This solution doesn\u2019t require complex factors or additional terms, making it the simplest answer among the options.<\/p>\n","protected":false},"excerpt":{"rendered":" Rewrite the equation in terms of u.(u2+3)u\u22122=0 u2u\u22122=0 (u2+9)u\u22122=0 u2u+1=0 The Correct Answer and Explanation is : It seems there\u2019s a bit of confusion in the way the equations are written here. Let\u2019s clarify and rewrite each one correctly before finding a solution. Starting with the possible intended equation formats, let’s consider four equations separately: […]<\/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-160026","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160026","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=160026"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160026\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=160026"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=160026"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=160026"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
Equation Analysis:<\/h3>\n\n\n\n
\n
Expanding this:
[
u^3 + 3u – 2 = 0
]
This is a cubic equation in ( u ), and it could potentially have real or complex roots, though solving this would involve either factoring or using numerical methods.<\/li>\n\n\n\n
Simplifying this, we get:
[
u^3 – 2 = 0
]
Solving for ( u ), we find:
[
u^3 = 2 \\implies u = \\sqrt[3]{2}
]
This is a simple solution with a real value.<\/li>\n\n\n\n
Expanding this:
[
u^3 + 9u – 2 = 0
]
This is another cubic equation, and like the first, it would likely require numerical methods for exact solutions.<\/li>\n\n\n\n
Simplifying this:
[
u^3 + 1 = 0
]
Solving for ( u ), we get:
[
u^3 = -1 \\implies u = -1
]
since (-1) is the cube root of (-1).<\/li>\n<\/ol>\n\n\n\nConclusion<\/h3>\n\n\n\n