{"id":153560,"date":"2022-03-25T22:33:35","date_gmt":"2022-03-25T17:03:35","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/nature-of-roots-of-a-quadratic-equation\/"},"modified":"2023-04-26T13:00:23","modified_gmt":"2023-04-26T07:30:23","slug":"nature-of-roots-of-a-quadratic-equation","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/nature-of-roots-of-quadratic-equation\/","title":{"rendered":"Nature of Roots &#8211; Methods for finding roots, Graphical representation"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 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\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><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><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/nature-of-roots-of-quadratic-equation\/#What_are_Quadratic_Equations\" title=\"What are Quadratic Equations?\">What are Quadratic Equations?<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/nature-of-roots-of-quadratic-equation\/#How_are_Quadratic_equations_different_from_Quadratic_Polynomials\" title=\"How are Quadratic equations different from Quadratic Polynomials?\">How are Quadratic equations different from Quadratic Polynomials?<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/nature-of-roots-of-quadratic-equation\/#Methods_used_for_finding_roots_of_Quadratic_Equations\" title=\"Methods used for finding roots of Quadratic Equations\">Methods used for finding roots of Quadratic Equations<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/nature-of-roots-of-quadratic-equation\/#Graphical_Representation_of_Quadratic_Equation\" title=\"Graphical Representation of Quadratic Equation\">Graphical Representation of Quadratic Equation<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/nature-of-roots-of-quadratic-equation\/#Type_of_Roots\" title=\"Type of Roots\">Type of Roots<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/nature-of-roots-of-quadratic-equation\/#Nature_of_Roots\" title=\"Nature of Roots\">Nature of Roots<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><span style=\"color: #0000ff;\"><strong><span style=\"font-size: 14pt;\">Nature of Roots of a Quadratic Equation<\/span><\/strong><\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_are_Quadratic_Equations\"><\/span><span style=\"font-size: 14pt; color: #800080;\">What are Quadratic Equations?<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A quadratic equation is an equation in the form ax^2+bx+c=0, where a, b, and c are real numbers and a is not equal to 0. The graph of a quadratic equation is a parabola.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-153559 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/nature-of-roots-of-a-quadratic-equation-300x212.jpg\" alt=\"Nature of Roots of a Quadratic Equation\" width=\"300\" height=\"212\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/nature-of-roots-of-a-quadratic-equation-300x212.jpg?v=1648227811 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/nature-of-roots-of-a-quadratic-equation.jpg?v=1648227811 606w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"How_are_Quadratic_equations_different_from_Quadratic_Polynomials\"><\/span><span style=\"color: #800080;\">How are Quadratic equations different from Quadratic Polynomials?<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Quadratic equations are different from quadratic polynomials in that quadratic equations have a variable in the second power, while quadratic polynomials do not. Quadratic equations can be solved using the quadratic formula, while quadratic polynomials cannot.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Methods_used_for_finding_roots_of_Quadratic_Equations\"><\/span><span style=\"font-size: 14pt; color: #800080;\">Methods used for finding roots of Quadratic Equations<\/span><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>There are a few methods that can be used to find the roots of quadratic equations. The first is the quadratic formula, which can be used to solve any quadratic equation. The second is the graphical method, which can be used to find the roots of a quadratic equation by graphing the equation and finding the points where the graph crosses the x-axis. The third is the numerical method, which can be used to find the roots of a quadratic equation by using a calculator or computer to approximate the roots of the equation.<\/p>\n<p><strong>Also Read:<\/strong> <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/discriminant\/\" target=\"_blank\" rel=\"noopener\"><strong>Discriminant \u2013 Explanation, Formula and Relationship between Roots<\/strong><\/a><\/p>\n<h4><span class=\"ez-toc-section\" id=\"Graphical_Representation_of_Quadratic_Equation\"><\/span><span style=\"color: #800080; font-size: 14pt;\">Graphical Representation of Quadratic Equation<\/span><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>The graphical representation of a quadratic equation is a graph that shows the solutions to the equation. The equation will have a line that represents the equation, and the solutions will be represented by points on the line.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Type_of_Roots\"><\/span><span style=\"color: #800080;\">Type of Roots<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>There are three types of roots:<\/p>\n<ul>\n<li><strong>Axial Roots:<\/strong> These are the long roots that run along the length of the plant.<\/li>\n<li><strong>Radicular Roots:<\/strong> These are the shorter, fleshier roots that grow out of the stem.<\/li>\n<li><strong>Fibrous Roots:<\/strong> These are the thin, branching roots that grow from the radicular roots.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Nature_of_Roots\"><\/span><span style=\"color: #800080;\">Nature of Roots<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The nature of roots is one of the most important aspects of plant biology. Roots are the organs of a plant that anchor it in the soil and absorb water and minerals from the soil. The root system of a plant is also responsible for the distribution of water and nutrients throughout the plant.<\/p>\n<p><span style=\"color: #800080;\"><strong>There are two main types of roots:<\/strong> T<\/span>aproots and Fibrous roots.<\/p>\n<ul>\n<li>Taproots are large, single roots that grow deep into the soil.<\/li>\n<li>Fibrous roots are small, thin roots that spread out horizontally in the soil.<\/li>\n<\/ul>\n<p>Most plants have a combination of both taproots and fibrous roots. The type of root system a plant has depends on the type of plant and the environment in which it grows.<\/p>\n<p>For example, plants that grow in dry environments typically have a more developed taproot system, while plants that grow in moist environments typically have a more developed fibrous root system.<\/p>\n<p><strong><span style=\"color: #800080; font-size: 14pt;\">Facts<\/span><\/strong><\/p>\n<ul>\n<li>The EU is the world&#8217;s largest economy with a GDP of $17.5 trillion.<\/li>\n<li>The EU has a population of over 500 million people.<\/li>\n<li>The EU has 28 member states.<\/li>\n<li>The EU&#8217;s main economic sectors are services (60%), industry (30%), and agriculture (10%).<\/li>\n<li>The EU is the world&#8217;s largest exporter of goods (\u20ac1.7 trillion in 2016) and the second-largest importer (\u20ac1.5 trillion in 2016).<\/li>\n<li>The EU is the world&#8217;s largest donor of development assistance (\u20ac86.6 billion in 2016).<\/li>\n<li>The EU is a major source of foreign investment and has been the world&#8217;s largest recipient of foreign direct investment since 2001.<\/li>\n<li>The EU has a high level of human development, with an HDI of 0.891 (2015).<\/li>\n<li>The EU is a founding member of the United Nations, the NATO alliance, and the WTO.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Nature of Roots of a Quadratic Equation What are Quadratic Equations? A quadratic equation is an equation in the form [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Nature of Roots","_yoast_wpseo_title":"Nature of Roots - Methods for finding roots, Graphical representation","_yoast_wpseo_metadesc":"Learn Nature of Roots of a Quadratic Equation topic of Maths in details explained by subject experts on infinitylearn.com.","custom_permalink":"maths\/nature-of-roots-of-quadratic-equation\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Nature of Roots - Methods for finding roots, Graphical representation<\/title>\n<meta name=\"description\" content=\"Learn Nature of Roots of a Quadratic Equation topic of Maths in details explained by subject experts on infinitylearn.com.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/nature-of-roots-of-quadratic-equation\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Nature of Roots - 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