Rearrange this expression into quadratic form, ax^2+bx+c = 0 0.20 = x^2\/55 – x where a = 1, and identify the values of b and c. a = Number 1 b = Number 0.20 c = Number – 11<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n We are given the equation:<\/p>\n\n\n\n [ To remove the fraction, multiply both sides of the equation by 55:<\/p>\n\n\n\n [ This simplifies to:<\/p>\n\n\n\n [ Now, move all terms to one side of the equation to put it into standard quadratic form, ( ax^2 + bx + c = 0 ). Subtract 11 from both sides:<\/p>\n\n\n\n [ Now, the equation is in the form ( ax^2 + bx + c = 0 ), where:<\/p>\n\n\n\n The quadratic equation is ( x^2 – 55x – 11 = 0 ), where:<\/p>\n\n\n\n To summarize:<\/p>\n\n\n\n The explanation shows how we start by eliminating the fraction, then move the terms to one side of the equation to match the standard quadratic form. The key to identifying the coefficients is ensuring the equation is in the form ( ax^2 + bx + c = 0 ).<\/p>\n","protected":false},"excerpt":{"rendered":" Rearrange this expression into quadratic form, ax^2+bx+c = 0 0.20 = x^2\/55 – x where a = 1, and identify the values of b and c. a = Number 1 b = Number 0.20 c = Number – 11 The Correct Answer and Explanation is : We are given the equation: [0.20 = \\frac{x^2}{55} – […]<\/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-189742","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/189742","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=189742"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/189742\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=189742"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=189742"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=189742"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
0.20 = \\frac{x^2}{55} – x
]<\/p>\n\n\n\nStep 1: Eliminate the fraction<\/h3>\n\n\n\n
55 \\times 0.20 = 55 \\times \\left( \\frac{x^2}{55} – x \\right)
]<\/p>\n\n\n\n
11 = x^2 – 55x
]<\/p>\n\n\n\nStep 2: Rearrange into standard quadratic form<\/h3>\n\n\n\n
x^2 – 55x – 11 = 0
]<\/p>\n\n\n\nStep 3: Identify the coefficients<\/h3>\n\n\n\n
\n
Step 4: Conclusion<\/h3>\n\n\n\n
\n
\n