{"id":10563,"date":"2022-11-18T06:48:06","date_gmt":"2022-11-18T06:48:06","guid":{"rendered":"https:\/\/www.prepbytes.com\/blog\/?p=10563"},"modified":"2023-05-10T05:18:55","modified_gmt":"2023-05-10T05:18:55","slug":"c-program-to-find-roots-of-quadratic-equation","status":"publish","type":"post","link":"https:\/\/prepbytes.com\/blog\/c-program-to-find-roots-of-quadratic-equation\/","title":{"rendered":"C Program to Find Roots of Quadratic Equation"},"content":{"rendered":"<p><img decoding=\"async\" src=\"https:\/\/prepbytes-misc-images.s3.ap-south-1.amazonaws.com\/assets\/1668753201223-C%20Program%20to%20Find%20Roots%20of%20Quadratic%20Equation.jpg\" alt=\"\" \/><\/p>\n<p>This article will go over a C program for finding the roots of quadratic equations in depth. Finding the roots of the quadratic equation in c will help in building the logic, which will enhance your coding career. Let&#8217;s talk about what a quadratic equation is and how to use a <a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/basic-c-programs-examples\/\" title=\"C program\">C program<\/a> to find the roots of a quadratic equation. To begin, what exactly is a quadratic equation?<\/p>\n<h2>What is a Quadratic Equation in C?<\/h2>\n<p>A quadratic equation is an equation of degree 2, which means that the function&#8217;s highest exponent is 2. A quadratic has the standard form y = ax2 + bx + c, where a, b, and c are numbers and a cannot be zero. Example of a quadratic equation: 3x^2 + 3x + 1. Let&#8217;s look at what quadratic equation roots are and how to get them from the equation.<\/p>\n<p>The term b^2 \u2013 4ac is called the discriminant of a quadratic equation. It tells the nature of the roots.<\/p>\n<ul>\n<li>If the discriminant is greater than 0, the roots are real and different.<\/li>\n<li>If the discriminant is equal to 0, the roots are real and equal.<\/li>\n<li>If the discriminant is less than 0, the roots are complex and different.<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/prepbytes-misc-images.s3.ap-south-1.amazonaws.com\/assets\/1668753989107-C%20Program%20to%20Find%20Roots%20of%20Quadratic%20Equation%201.png\" alt=\"\" \/><\/p>\n<h3>Algorithm to Find the Roots of Quadratic Equations in C<\/h3>\n<ol>\n<li>Input the value of a, b, c.<\/li>\n<li>Calculate k = b<em>b &#8211; 4<\/em>a*c<\/li>\n<li>If (d &lt; 0)\n<ul>\n<li>Print &quot;Roots are Imaginary, calculate root1 = (-b +i ?k)\/ 2a and root2 =(b + i?k)\/ 2a.<\/li>\n<\/ul>\n<\/li>\n<li>else if (d = 0)\n<ul>\n<li>Print &quot;Roots are Equal&quot; and calculate root1 = root2 = (-b \/ 2*a)<\/li>\n<\/ul>\n<\/li>\n<li>else\n<ul>\n<li>Print &quot;Roots are real and calculate root1 = -b + ?d \/ 2<em>a and root2 = -b &#8211; ?d \/ 2<\/em>a.<\/li>\n<\/ul>\n<\/li>\n<li>Print root1 and root2.<\/li>\n<li>End the algorithm.<\/li>\n<\/ol>\n<h3>Code Implementation to Find Roots of Quadratic Equations in C<\/h3>\n\t\t\t\t\t\t<style>\r\n\t\t\t\t\r\n\t\t\t\t\t#tab_container_10558 {\r\n\toverflow:hidden;\r\n\tdisplay:block;\r\n\twidth:100%;\r\n\tborder:0px solid #ddd;\r\n\tmargin-bottom:30px;\r\n\t}\r\n\r\n#tab_container_10558 .tab-content{\r\n\tpadding:20px;\r\n\tborder: 1px solid #e6e6e6 !important;\r\n\tmargin-top: 0px;\r\n\tbackground-color:#ffffff !important;\r\n\tcolor: #000000 !important;\r\n\tfont-size:16px !important;\r\n\tfont-family: Open Sans !important;\r\n\t\r\n\t\tborder: 1px solid #e6e6e6 !important;\r\n\t}\r\n#tab_container_10558 .wpsm_nav-tabs {\r\n    border-bottom: 0px solid #ddd;\r\n}\r\n#tab_container_10558 .wpsm_nav-tabs > li.active > a, #tab_container_10558 .wpsm_nav-tabs > li.active > a:hover, #tab_container_10558 .wpsm_nav-tabs > li.active > a:focus {\r\n\tcolor: #000000 !important;\r\n\tcursor: default;\r\n\tbackground-color: #ffffff !important;\r\n\tborder: 1px solid #e6e6e6 !important;\r\n}\r\n\r\n#tab_container_10558 .wpsm_nav-tabs > li > a {\r\n    margin-right: 0px !important; 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0) {\r\n        root1 = (-b + sqrt(discriminant)) \/ (2 * a);\r\n        root2 = (-b - sqrt(discriminant)) \/ (2 * a);\r\n        printf(&quot;root1 = %.2lf and root2 = %.2lf&quot;, root1, root2);\r\n    }\r\n    else if (discriminant == 0) {\r\n        root1 = root2 = -b \/ (2 * a);\r\n        printf(&quot;root1 = root2 = %.2lf;&quot;, root1);\r\n    }\r\n    else {\r\n        realPart = -b \/ (2 * a);\r\n        imagPart = sqrt(-discriminant) \/ (2 * a);\r\n        printf(&quot;root1 = %.2lf+%.2lfi and root2 = %.2f-%.2fi&quot;, realPart, imagPart, realPart, imagPart);\r\n    }\r\n    return 0;\r\n} \r\n<\/pre>\r\n<!-- \/wp:enlighter\/codeblock -->\t\t\t\t\t\t <\/div>\r\n\t\t\t\t\t\t\t\r\n\t\t\t\t\t <\/div>\r\n\t\t\t\t\t \r\n\t\t\t\t <\/div>\r\n <script>\r\n\t\tjQuery(function () {\r\n\t\t\tjQuery('#myTab_10558 a:first').tab('show')\r\n\t\t});\r\n\t\t\r\n\t\t\t\tjQuery(function(){\r\n\t\t\tvar b=\"fadeIn\";\r\n\t\t\tvar c;\r\n\t\t\tvar a;\r\n\t\t\td(jQuery(\"#myTab_10558 a\"),jQuery(\"#tab-content_10558\"));function d(e,f,g){\r\n\t\t\t\te.click(function(i){\r\n\t\t\t\t\ti.preventDefault();\r\n\t\t\t\t\tjQuery(this).tab(\"show\");\r\n\t\t\t\t\tvar h=jQuery(this).data(\"easein\");\r\n\t\t\t\t\tif(c){c.removeClass(a);}\r\n\t\t\t\t\tif(h){f.find(\"div.active\").addClass(\"animated \"+h);a=h;}\r\n\t\t\t\t\telse{if(g){f.find(\"div.active\").addClass(\"animated \"+g);a=g;}else{f.find(\"div.active\").addClass(\"animated \"+b);a=b;}}c=f.find(\"div.active\");\r\n\t\t\t\t});\r\n\t\t\t}\r\n\t\t});\r\n\t\t\r\n\r\n\t\tfunction do_resize(){\r\n\r\n\t\t\tvar width=jQuery( '.tab-content .tab-pane iframe' ).width();\r\n\t\t\tvar height=jQuery( '.tab-content .tab-pane iframe' ).height();\r\n\r\n\t\t\tvar toggleSize = true;\r\n\t\t\tjQuery('iframe').animate({\r\n\t\t\t    width: toggleSize ? width : 640,\r\n\t\t\t    height: toggleSize ? height : 360\r\n\t\t\t  }, 250);\r\n\r\n\t\t\t  toggleSize = !toggleSize;\r\n\t\t}\r\n\r\n\r\n\t<\/script>\r\n\t\t\t\t\r\n\t\t\t\n<p><strong>Output<\/strong><\/p>\n<pre><code>root1 = -1.00+1.41i and root2 = -1.00-1.41i<\/code><\/pre>\n<p><strong>Time Complexity to find roots of quadratic equation in C<\/strong><br \/>\nO(1) will be the time complexity as general mathematics is used to find the roots of the quadratic equation.<\/p>\n<p><strong>Conclusion<\/strong><br \/>\nThis article provides the best explanation for solving quadratic equations in C. Solving problems like finding quadratic equation roots on a regular basis will help your programming career. Don&#8217;t stop there; try more logical questions like finding the roots of a quadratic equation, which will not only improve your logic but will also improve your programming skills.<\/p>\n<h2>Frequently Asked Questions (FAQs)<\/h2>\n<p><strong>Q1. How do I find the roots of a number in C?<\/strong><br \/>\n<strong>Ans.<\/strong> In C programming, the sqrt() function is a pre-defined library function used to calculate the square root of a number.<\/p>\n<p><strong>Q2. What are the 4 ways to find the roots of a quadratic equation?<\/strong><br \/>\n<strong>Ans.<\/strong> There are various methods by which you can solve a quadratic equation, such as: factorization, completing the square, the quadratic formula, and graphing. These are the four general methods by which we can solve a quadratic equation.<\/p>\n<p><strong>Q3. What is an algorithm to solve a quadratic equation?<\/strong><br \/>\n<strong>Ans.<\/strong> Quadratic equations are the polynomial equations of degree 2 in one variable of type: f(x) = ax^2 +bx + c, where a, b, c, \u2208 R and a \u2260 0. The general form of the quadratic equation is called the leading coefficient, and c is called the absolute term of f(x).<\/p>\n<p><strong>Q4. What is an example of a quadratic equation with real roots?<\/strong><br \/>\n<strong>Ans.<\/strong> For the equation x^2-7x+12=0, on solving it, we have the real roots as 3 and 4.<\/p>\n<p><strong>Q5. What is C in quadratic standard form?<\/strong><br \/>\n<strong>Ans.<\/strong> In the standard form of a quadratic function, f(x) = ax2 + bx + c, c is equal to the y-intercept of the graph of the function.<\/p>\n<p><strong>Other C Programs<\/strong><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/c-program-to-calculate-percentage-of-5-subjects\/\">C program to calculate percentage of 5 subjects<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/c-program-to-convert-binary-number-to-decimal-number\/\">C program to convert binary number to decimal number<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/c-program-to-convert-celsius-to-fahrenheit\/\">C program to convert celsius to fahrenheit<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/c-program-to-convert-infix-to-postfix\/\">C program to convert infix to postfix<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/c-program-to-find-area-of-circle\/\">C program to find area of circle<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/c-program-to-add-two-numbers\/\">C program to add two numbers<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/c-program-to-reverse-a-number\/\">C program to reverse a number<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/linked-list\/c-program-for-merge-sort-for-linked-lists\/\">C program for merge sort for linked lists<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/linked-list\/c-program-for-performing-bubble-sort-on-linked-list\/\">C program for performing bubble sort on linked list<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/linked-list\/c-program-to-reverse-a-linked-list\/\">C program to reverse a linked list<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>This article will go over a C program for finding the roots of quadratic equations in depth. Finding the roots of the quadratic equation in c will help in building the logic, which will enhance your coding career. Let&#8217;s talk about what a quadratic equation is and how to use a C program to find [&hellip;]<\/p>\n","protected":false},"author":52,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[2],"tags":[],"class_list":["post-10563","post","type-post","status-publish","format-standard","hentry","category-c-programming"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>C Program to Find Roots of Quadratic Equation<\/title>\n<meta name=\"description\" content=\"Discuss and understand what a quadratic equation is and we will see the C program to find roots of quadratic equation.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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