{"id":259953,"date":"2024-06-21T17:22:36","date_gmt":"2024-06-21T17:22:36","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/?p=259953"},"modified":"2024-06-21T17:22:36","modified_gmt":"2024-06-21T17:22:36","slug":"how-to-find-missing-value-to-complete-the-square","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/","title":{"rendered":"How to find missing value to complete the square?"},"content":{"rendered":"<p>Completing the square is an important technique in algebra that allows us to rewrite a quadratic equation in a specific form for easier solving or graphing. In order to complete the square, we sometimes encounter situations where a term is missing in the equation. In this article, we will discuss how to find the missing value to complete the square and provide answers to some related FAQs.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_62 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title \" >Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/#How_to_Find_the_Missing_Value\" title=\"How to Find the Missing Value:\">How to Find the Missing Value:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/#Related_FAQs\" title=\"Related FAQs:\">Related FAQs:<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/#FAQ_1_What_is_completing_the_square\" title=\"FAQ 1: What is completing the square?\">FAQ 1: What is completing the square?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/#FAQ_2_Why_do_we_need_to_find_the_missing_value\" title=\"FAQ 2: Why do we need to find the missing value?\">FAQ 2: Why do we need to find the missing value?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/#FAQ_3_Can_any_quadratic_equation_be_completed_by_finding_the_missing_value\" title=\"FAQ 3: Can any quadratic equation be completed by finding the missing value?\">FAQ 3: Can any quadratic equation be completed by finding the missing value?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/#FAQ_4_What_if_the_coefficient_%E2%80%98a_is_not_1\" title=\"FAQ 4: What if the coefficient &#8216;a&#8217; is not 1?\">FAQ 4: What if the coefficient &#8216;a&#8217; is not 1?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/#FAQ_5_What_do_we_do_if_the_%E2%80%98b_term_is_already_zero\" title=\"FAQ 5: What do we do if the &#8216;b&#8217; term is already zero?\">FAQ 5: What do we do if the &#8216;b&#8217; term is already zero?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/#FAQ_6_Why_do_we_divide_the_%E2%80%98b_term_coefficient_by_2\" title=\"FAQ 6: Why do we divide the &#8216;b&#8217; term coefficient by 2?\">FAQ 6: Why do we divide the &#8216;b&#8217; term coefficient by 2?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/#FAQ_7_Can_negative_values_be_the_missing_value\" title=\"FAQ 7: Can negative values be the missing value?\">FAQ 7: Can negative values be the missing value?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/#FAQ_8_What_if_the_%E2%80%98c_term_is_also_zero\" title=\"FAQ 8: What if the &#8216;c&#8217; term is also zero?\">FAQ 8: What if the &#8216;c&#8217; term is also zero?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/#FAQ_9_Can_the_quadratic_equation_still_be_solved_without_completing_the_square\" title=\"FAQ 9: Can the quadratic equation still be solved without completing the square?\">FAQ 9: Can the quadratic equation still be solved without completing the square?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/#FAQ_10_Does_every_quadratic_equation_have_a_solution\" title=\"FAQ 10: Does every quadratic equation have a solution?\">FAQ 10: Does every quadratic equation have a solution?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/#FAQ_11_What_is_the_significance_of_h_and_k_in_the_completed_square_form_x_h2_k\" title=\"FAQ 11: What is the significance of (h) and (k) in the completed square form ((x + h)^2 = k)?\">FAQ 11: What is the significance of (h) and (k) in the completed square form ((x + h)^2 = k)?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/#FAQ_12_Can_completing_the_square_be_used_for_purposes_other_than_solving_or_graphing\" title=\"FAQ 12: Can completing the square be used for purposes other than solving or graphing?\">FAQ 12: Can completing the square be used for purposes other than solving or graphing?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Find_the_Missing_Value\"><\/span>How to Find the Missing Value:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To find the missing value in completing the square, follow these steps:<\/p>\n<p>1. Begin with a quadratic equation in the form of (ax^2 + bx + c = 0).<br \/>\n2. Ensure that the coefficient &#8216;a&#8217; is 1 by factoring it out if necessary.<br \/>\n3. Focus on the &#8216;b&#8217; term and determine its coefficient by dividing it by 2.<br \/>\n4. Square the coefficient obtained in the previous step to find the missing value.<br \/>\n5. Add the missing value to both sides of the equation.<br \/>\n6. Factor the trinomial formed by the quadratic equation and simplify both sides if necessary.<br \/>\n7. Rewrite the equation in the form ((x + h)^2 = k), where &#8216;h&#8217; is the coefficient from step 3 and &#8216;k&#8217; is the constant on the other side of the equation.<\/p>\n<p>Following these steps will allow us to find the missing value and complete the square successfully.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Related_FAQs\"><\/span>Related FAQs:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"FAQ_1_What_is_completing_the_square\"><\/span>FAQ 1: What is completing the square?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nCompleting the square is a technique used in algebra to rewrite a quadratic equation in a specific form, namely ((x + h)^2 = k), which is helpful for solving or graphing the equation.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQ_2_Why_do_we_need_to_find_the_missing_value\"><\/span>FAQ 2: Why do we need to find the missing value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nFinding the missing value is essential to complete the square because it allows us to rewrite the equation in the form ((x + h)^2 = k), making it easier to solve or graph.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQ_3_Can_any_quadratic_equation_be_completed_by_finding_the_missing_value\"><\/span>FAQ 3: Can any quadratic equation be completed by finding the missing value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, any quadratic equation in the form of (ax^2 + bx + c) can be completed by finding the missing value, as long as the coefficient &#8216;a&#8217; is not zero.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQ_4_What_if_the_coefficient_%E2%80%98a_is_not_1\"><\/span>FAQ 4: What if the coefficient &#8216;a&#8217; is not 1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nIf the coefficient &#8216;a&#8217; in the quadratic equation is not 1, divide the entire equation by &#8216;a&#8217; to ensure that &#8216;a&#8217; becomes 1 before proceeding with the completion of the square process.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQ_5_What_do_we_do_if_the_%E2%80%98b_term_is_already_zero\"><\/span>FAQ 5: What do we do if the &#8216;b&#8217; term is already zero?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nIf the &#8216;b&#8217; term is zero in the quadratic equation, then there is no missing value to find, and we can directly proceed to complete the square by focusing on the &#8216;a&#8217; and &#8216;c&#8217; terms.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQ_6_Why_do_we_divide_the_%E2%80%98b_term_coefficient_by_2\"><\/span>FAQ 6: Why do we divide the &#8216;b&#8217; term coefficient by 2?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nDividing the &#8216;b&#8217; term coefficient by 2 allows us to find the missing value that, when squared, will complete the square of the quadratic equation.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQ_7_Can_negative_values_be_the_missing_value\"><\/span>FAQ 7: Can negative values be the missing value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, the missing value can be a negative number. Remember to include its sign when adding it to both sides of the equation.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQ_8_What_if_the_%E2%80%98c_term_is_also_zero\"><\/span>FAQ 8: What if the &#8216;c&#8217; term is also zero?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nIf the &#8216;c&#8217; term is zero in the quadratic equation, then there is no missing value to find, and we can directly proceed to complete the square by focusing on the &#8216;a&#8217; and &#8216;b&#8217; terms.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQ_9_Can_the_quadratic_equation_still_be_solved_without_completing_the_square\"><\/span>FAQ 9: Can the quadratic equation still be solved without completing the square?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, quadratic equations can also be solved using other methods such as factoring, quadratic formula, or graphing, but completing the square provides an alternative approach.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQ_10_Does_every_quadratic_equation_have_a_solution\"><\/span>FAQ 10: Does every quadratic equation have a solution?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, every quadratic equation has at least one and can have up to two real solutions or two complex solutions.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQ_11_What_is_the_significance_of_h_and_k_in_the_completed_square_form_x_h2_k\"><\/span>FAQ 11: What is the significance of (h) and (k) in the completed square form ((x + h)^2 = k)?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe value of &#8216;h&#8217; represents the horizontal shift of the parabola, while &#8216;k&#8217; represents the vertical shift.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQ_12_Can_completing_the_square_be_used_for_purposes_other_than_solving_or_graphing\"><\/span>FAQ 12: Can completing the square be used for purposes other than solving or graphing?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nCompleting the square is a powerful technique not only used in solving and graphing quadratic equations but also in various areas of mathematics such as optimization and calculus.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Completing the square is an important technique in algebra that allows us to rewrite a quadratic equation in a specific form for easier solving or graphing. In order to complete the square, we sometimes encounter situations where a term is missing in the equation. In this article, we will discuss how to find the missing &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"How to find missing value to complete the square?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/#more-259953\">Read more<span class=\"screen-reader-text\">How to find missing value to complete the square?<\/span><\/a><\/p>\n","protected":false},"author":66,"featured_media":107420,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[86279],"tags":[],"class_list":["post-259953","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-learn","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>How to find missing value to complete the square?<\/title>\n<meta name=\"description\" content=\"Completing the square is an important technique in algebra that allows us to rewrite a quadratic equation in a specific form for easier solving or\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How to find missing value to complete the square?\" \/>\n<meta property=\"og:description\" content=\"Completing the square is an important technique in algebra that allows us to rewrite a quadratic equation in a specific form for easier solving or\" \/>\n<meta property=\"og:url\" content=\"https:\/\/namso-gen.co\/blog\/how-to-find-missing-value-to-complete-the-square\/\" \/>\n<meta property=\"og:site_name\" content=\"Namso Gen Blog - 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