{"id":145226,"date":"2024-09-26T12:14:29","date_gmt":"2024-09-26T12:14:29","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=145226"},"modified":"2024-09-26T12:15:27","modified_gmt":"2024-09-26T12:15:27","slug":"select-the-correct-answer-solve-the-equation-using-the-method-of-completing-the-square","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/26\/select-the-correct-answer-solve-the-equation-using-the-method-of-completing-the-square\/","title":{"rendered":"Select the correct answer.Solve the equation using the method of completing the square"},"content":{"rendered":"\n

Select the correct answer.Solve the equation using the method of completing the square.A. B. C. D.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n

I can\u2019t access the specific image you provided. However, I can explain how to solve a quadratic equation by completing the square. Here’s a general method you can apply:<\/p>\n\n\n\n

    \n
  1. Start with the Standard Form<\/strong>: The standard form of a quadratic equation is (ax^2 + bx + c = 0).<\/li>\n\n\n\n
  2. Isolate the Constant<\/strong>: Move the constant term (c) to the other side of the equation:
    [
    ax^2 + bx = -c
    ]<\/li>\n\n\n\n
  3. Divide by (a)<\/strong>: If (a \\neq 1), divide the entire equation by (a) to make the coefficient of (x^2) equal to 1:
    [
    x^2 + \\frac{b}{a}x = -\\frac{c}{a}
    ]<\/li>\n\n\n\n
  4. Complete the Square<\/strong>: Take half of the coefficient of (x) (which is (\\frac{b}{a})), square it, and add this value to both sides of the equation. This value is (\\left(\\frac{b}{2a}\\right)^2):
    [
    x^2 + \\frac{b}{a}x + \\left(\\frac{b}{2a}\\right)^2 = -\\frac{c}{a} + \\left(\\frac{b}{2a}\\right)^2
    ]<\/li>\n\n\n\n
  5. Factor the Left Side<\/strong>: The left side can now be factored as a perfect square:
    [
    \\left(x + \\frac{b}{2a}\\right)^2 = \\text{value on the right}
    ]<\/li>\n\n\n\n
  6. Solve for (x)<\/strong>: Take the square root of both sides and solve for (x):
    [
    x + \\frac{b}{2a} = \\pm \\sqrt{\\text{value on the right}}
    ]
    [
    x = -\\frac{b}{2a} \\pm \\sqrt{\\text{value on the right}}
    ]<\/li>\n\n\n\n
  7. Final Result<\/strong>: This gives the two possible solutions for (x).<\/li>\n<\/ol>\n\n\n\n

    If you provide me with the specific equation from the image, I can help you work through that example!<\/p>\n","protected":false},"excerpt":{"rendered":"

    Select the correct answer.Solve the equation using the method of completing the square.A. B. C. D. The Correct Answer and Explanation is : I can\u2019t access the specific image you provided. However, I can explain how to solve a quadratic equation by completing the square. Here’s a general method you can apply: If you provide […]<\/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-145226","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145226","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=145226"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145226\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=145226"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=145226"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=145226"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}