{"id":234888,"date":"2025-06-14T14:28:57","date_gmt":"2025-06-14T14:28:57","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=234888"},"modified":"2025-06-14T14:28:59","modified_gmt":"2025-06-14T14:28:59","slug":"work-out-the-value-of-nwhen-n-52k%c2%b2-3k-6and-k-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/14\/work-out-the-value-of-nwhen-n-52k%c2%b2-3k-6and-k-2\/","title":{"rendered":"Work out the value of nwhen n = 5(2k\u00b2 + 3k – 6),and k=-2"},"content":{"rendered":"\n

Work out the value of n
when n = 5(2k\u00b2 + 3k – 6),
and k=-2
.<\/p>\n\n\n\n

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

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

The value of n is -20<\/strong>.<\/p>\n\n\n\n

To determine the value of n, the given value for k must be substituted into the equation. The equation provided is n = 5(2k\u00b2 + 3k – 6), and the value for k is -2.<\/p>\n\n\n\n

The first step is to replace every instance of ‘k’ in the equation with the value -2:
n = 5(2(-2)\u00b2 + 3(-2) – 6)<\/p>\n\n\n\n

Following the order of operations (PEMDAS\/BODMAS), the calculations inside the parentheses are performed first. Within the parentheses, exponents are handled before multiplication, addition, or subtraction.<\/p>\n\n\n\n

    \n
  1. Calculate the exponent:<\/strong>\u00a0The term (-2)\u00b2 means -2 multiplied by -2, which equals 4.
    The equation now becomes: n = 5(2(4) + 3(-2) – 6)<\/li>\n\n\n\n
  2. Perform multiplication within the parentheses:<\/strong>\n
      \n
    • Multiply 2 by 4 to get 8.<\/li>\n\n\n\n
    • Multiply 3 by -2 to get -6.
      The equation is now simplified to: n = 5(8 – 6 – 6)<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • Perform addition and subtraction within the parentheses:<\/strong>\u00a0Working from left to right, first subtract 6 from 8, which results in 2. Then, subtract the remaining 6 from 2.\n
        \n
      • 8 – 6 = 2<\/li>\n\n\n\n
      • 2 – 6 = -4
        The expression inside the parentheses simplifies to -4. The equation is now: n = 5(-4)<\/li>\n<\/ul>\n<\/li>\n\n\n\n
      • Perform the final multiplication:<\/strong>\u00a0The last step is to multiply 5 by the result from the parentheses, which is -4.
        5 \u00d7 -4 = -20<\/li>\n<\/ol>\n\n\n\n

        Therefore, when k = -2, the value of n is -20.<\/p>\n\n\n\n

        \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

        Work out the value of nwhen n = 5(2k\u00b2 + 3k – 6),and k=-2. The Correct Answer and Explanation is: The value of n is -20. To determine the value of n, the given value for k must be substituted into the equation. The equation provided is n = 5(2k\u00b2 + 3k – 6), and 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-234888","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/234888","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=234888"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/234888\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=234888"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=234888"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=234888"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}