{"id":1276,"date":"2024-09-23T14:59:00","date_gmt":"2024-09-23T12:59:00","guid":{"rendered":"https:\/\/solveredu.com\/?p=1276"},"modified":"2026-01-27T23:50:53","modified_gmt":"2026-01-27T22:50:53","slug":"rownanie-kwadratowe","status":"publish","type":"post","link":"https:\/\/solveredu.com\/tr\/post\/rownanie-kwadratowe\/","title":{"rendered":"\u0130kinci dereceden denklem"},"content":{"rendered":"<p class=\"wp-block-paragraph\">Bu blog yaz\u0131s\u0131nda ne oldu\u011funa bakaca\u011f\u0131z <strong>ikinci dereceden denklem<\/strong>\u00e7\u00f6z\u00fclebilir olmas\u0131 i\u00e7in hangi ko\u015fullar\u0131n sa\u011flanmas\u0131 gerekti\u011fi ve \u00e7\u00f6z\u00fcm say\u0131s\u0131n\u0131 belirleyen diskriminant\u0131n (delta) nas\u0131l hesaplanaca\u011f\u0131. Ayr\u0131ca ikinci dereceden denklem hesaplay\u0131c\u0131s\u0131 ile kolayca yap\u0131labilecek ad\u0131m ad\u0131m hesaplama \u00f6rneklerini de tart\u0131\u015faca\u011f\u0131z. Bir, iki veya hi\u00e7 \u00e7\u00f6z\u00fcm\u00fc olmayan denklemleri ve bunlar\u0131 \u00e7\u00f6zmeye yard\u0131mc\u0131 olacak ara\u00e7lar\u0131 nas\u0131l etkili bir \u015fekilde kullanaca\u011f\u0131n\u0131z\u0131 \u00f6\u011freneceksiniz.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"9n26k\">Bu giri\u015fte:<\/p>\n\n\n\n<ol id=\"cx3moqi0rmio0o104682\" class=\"wp-block-list\">\n<li><a href=\"#55gdd\">\u0130kinci dereceden denklem nedir<\/a><\/li>\n\n\n\n<li><a href=\"#2ofsq\">\u00c7\u00f6z\u00fclebilirlik ko\u015fulu<\/a><\/li>\n\n\n\n<li><a href=\"#di4o1\">\u0130kinci dereceden denklemin diskriminant\u0131 (delta)<\/a><\/li>\n\n\n\n<li><a href=\"#a4c8b\">Hesap makinesinden \u00f6rnek \u00e7\u00f6z\u00fcmler<\/a><\/li>\n<\/ol>\n\n\n\n<h1 id=\"55gdd\" class=\"wp-block-heading has-large-font-size\">\u0130kinci dereceden denklem<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"4odb7\">\u0130kinci dereceden bir denklem (bir bilinmeyenli x ile) formuna getirilebilen bir denklem olarak adland\u0131r\u0131l\u0131r:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"306\" height=\"71\" data-attachment-id=\"1278\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/rownanie-kwadratowe\/rownanie\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rownanie.jpg?fit=306%2C71&amp;ssl=1\" data-orig-size=\"306,71\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"rownanie\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rownanie.jpg?fit=306%2C71&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rownanie.jpg?resize=306%2C71&#038;ssl=1\" alt=\"ikinci dereceden denklem, SolverEdu\" class=\"wp-image-1278\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rownanie.jpg?w=306&amp;ssl=1 306w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rownanie.jpg?resize=300%2C71&amp;ssl=1 300w\" sizes=\"auto, (max-width: 306px) 100vw, 306px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"6bovn\">Burada a,b,c sabit reel say\u0131lard\u0131r ve a\u22600'd\u0131r.<\/p>\n\n\n\n<h2 id=\"2ofsq\" class=\"wp-block-heading has-medium-font-size\">\u00c7\u00f6z\u00fclebilirlik ko\u015fulu<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"41mva\">\u0130kinci dereceden bir denklemin \u00e7\u00f6z\u00fcm say\u0131s\u0131, diskriminant\u0131n (delta) de\u011ferine a\u015fa\u011f\u0131daki gibi ba\u011fl\u0131d\u0131r:<\/p>\n\n\n\n<ul id=\"c2eriqi0rmio0o104695\" class=\"wp-block-list\">\n<li>\u2206&lt;0 - \u00e7\u00f6z\u00fcm yok<\/li>\n\n\n\n<li>\u2206=0 - tek \u00e7\u00f6z\u00fcm<\/li>\n\n\n\n<li>\u2206&gt;0 - iki \u00e7\u00f6z\u00fcm<\/li>\n<\/ul>\n\n\n\n<h3 id=\"di4o1\" class=\"wp-block-heading\">\u0130kinci dereceden denklemin diskriminant\u0131 (delta)<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u0130kinci dereceden bir denklemin diskriminant\u0131 ayn\u0131 zamanda <strong>delta<\/strong> (\u0394). Her iki isim de birbirinin yerine kullan\u0131labilir.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"46ibo\">E\u011fer ikinci dereceden bir denklem <strong>iki \u00e7\u00f6z\u00fcm<\/strong>bunlar\u0131 a\u015fa\u011f\u0131daki gibi hesaplar\u0131z. \u0130lk ad\u0131mda, form\u00fcl\u00fc kullanarak denklem i\u00e7in deltay\u0131 hesaplayal\u0131m:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"168\" height=\"39\" data-attachment-id=\"2968\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/rownanie-kwadratowe\/wzor-delta1\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzor-delta1.png?fit=168%2C39&amp;ssl=1\" data-orig-size=\"168,39\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"wzor delta1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzor-delta1.png?fit=168%2C39&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzor-delta1.png?resize=168%2C39&#038;ssl=1\" alt=\"\" class=\"wp-image-2968\" style=\"aspect-ratio:4.926060606060606;width:226px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzor-delta1.png?w=168&amp;ssl=1 168w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzor-delta1.png?resize=18%2C4&amp;ssl=1 18w\" sizes=\"auto, (max-width: 168px) 100vw, 168px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"afjh8\">Daha sonra denklemin \u00e7\u00f6z\u00fcmlerini a\u015fa\u011f\u0131daki form\u00fcllerden hesapl\u0131yoruz:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"594\" height=\"81\" data-attachment-id=\"2969\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/rownanie-kwadratowe\/wzory-rozwiazan1\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan1.png?fit=594%2C81&amp;ssl=1\" data-orig-size=\"594,81\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"wzory rozwiazan1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan1.png?fit=594%2C81&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan1.png?resize=594%2C81&#038;ssl=1\" alt=\"\" class=\"wp-image-2969\" style=\"width:431px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan1.png?w=594&amp;ssl=1 594w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan1.png?resize=300%2C41&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan1.png?resize=18%2C2&amp;ssl=1 18w\" sizes=\"auto, (max-width: 594px) 100vw, 594px\" \/><\/figure>\n\n\n\n<h3 id=\"a4c8b\" class=\"wp-block-heading\">\u0130kinci dereceden denklem hesaplay\u0131c\u0131s\u0131ndan \u00e7\u00f6z\u00fcm \u00f6rnekleri<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"8qpeh\">A\u015fa\u011f\u0131da ikinci dereceden bir denklemin \u00e7\u00f6z\u00fcm\u00fcne ili\u015fkin bir \u00f6rnek yer almaktad\u0131r.<\/p>\n\n\n\n<figure style=\"font-size:clamp(14px, 0.875rem + ((1vw - 3.2px) * 0.536), 20px);\" class=\"wp-block-table\"><table class=\"has-theme-2-background-color has-text-color has-background has-link-color has-fixed-layout\" style=\"color:#ffffff\"><tbody><tr><td>\u00d6rnek \u00e7\u00f6z\u00fcmlerin sonu\u00e7lar\u0131 a\u015fa\u011f\u0131daki y\u00f6ntemler kullan\u0131larak elde edilmi\u015ftir <strong>\u00fccretsiz hesap makinesi<\/strong> <a href=\"https:\/\/app.solveredu.com\/delta-calc\" target=\"_blank\" rel=\"noreferrer noopener\">\u0130kinci dereceden denklemler<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"85\" data-attachment-id=\"1284\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/rownanie-kwadratowe\/przyklad-1-rownanie\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie.png?fit=400%2C85&amp;ssl=1\" data-orig-size=\"400,85\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"przyklad 1 rownanie\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie.png?fit=400%2C85&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie.png?resize=400%2C85&#038;ssl=1\" alt=\"\u00d6rnek ikinci dereceden denklem, SolverEdu, ikinci dereceden denklem hesaplay\u0131c\u0131\" class=\"wp-image-1284\" style=\"width:379px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie.png?w=400&amp;ssl=1 400w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie.png?resize=300%2C64&amp;ssl=1 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"609\" height=\"313\" data-attachment-id=\"1286\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/rownanie-kwadratowe\/przyklad-1-rownanie_rozwiazaniepng\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie_rozwiazaniepng.png?fit=609%2C313&amp;ssl=1\" data-orig-size=\"609,313\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"przyklad 1 rownanie_rozwiazaniepng\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie_rozwiazaniepng.png?fit=609%2C313&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie_rozwiazaniepng.png?resize=609%2C313&#038;ssl=1\" alt=\"SolverEdu ikinci dereceden denklem hesaplay\u0131c\u0131s\u0131ndan elde edilen ikinci dereceden denklem \u00e7\u00f6z\u00fcm\u00fc \u00f6rne\u011fi.\" class=\"wp-image-1286\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie_rozwiazaniepng.png?w=609&amp;ssl=1 609w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie_rozwiazaniepng.png?resize=300%2C154&amp;ssl=1 300w\" sizes=\"auto, (max-width: 609px) 100vw, 609px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u0130kinci dereceden denklemin \u00e7\u00f6z\u00fcmleri de \u015fu \u015fekilde adland\u0131r\u0131l\u0131r <strong>ikinci dereceden denklemin k\u00f6kleri<\/strong>.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"2gg51\">E\u011fer bu ikinci dereceden denklem <strong>tek \u00e7\u00f6z\u00fcm<\/strong> (\u00e7ift)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"168\" height=\"71\" data-attachment-id=\"2970\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/rownanie-kwadratowe\/wzory-rozwiazan2\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan2.png?fit=168%2C71&amp;ssl=1\" data-orig-size=\"168,71\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"wzory rozwiazan2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan2.png?fit=168%2C71&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan2.png?resize=168%2C71&#038;ssl=1\" alt=\"\" class=\"wp-image-2970\" style=\"aspect-ratio:2.366215139442231;width:145px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan2.png?w=168&amp;ssl=1 168w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan2.png?resize=18%2C8&amp;ssl=1 18w\" sizes=\"auto, (max-width: 168px) 100vw, 168px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"etgvb\">A\u015fa\u011f\u0131da, ikinci dereceden bir denklemin bir \u00e7ift \u00e7\u00f6z\u00fcmle \u00e7\u00f6z\u00fclmesine ili\u015fkin bir \u00f6rnek yer almaktad\u0131r.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"494\" height=\"429\" data-attachment-id=\"1289\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/rownanie-kwadratowe\/przyklad-2-rownanie\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2-rownanie.png?fit=494%2C429&amp;ssl=1\" data-orig-size=\"494,429\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"przyklad 2 rownanie\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2-rownanie.png?fit=494%2C429&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2-rownanie.png?resize=494%2C429&#038;ssl=1\" alt=\"SolverEdu ikinci dereceden denklem hesaplay\u0131c\u0131s\u0131ndan elde edilen ikinci dereceden denklem \u00e7\u00f6z\u00fcm\u00fc \u00f6rne\u011fi.\" class=\"wp-image-1289\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2-rownanie.png?w=494&amp;ssl=1 494w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2-rownanie.png?resize=300%2C261&amp;ssl=1 300w\" sizes=\"auto, (max-width: 494px) 100vw, 494px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"eqsfc\">Sizi kullanmaya davet ediyorum <a href=\"https:\/\/app.solveredu.com\/delta-calc\" rel=\"noreferrer noopener\" target=\"_blank\"><strong>\u00fccretsiz ikinci dereceden denklem hesaplay\u0131c\u0131<\/strong><\/a>. Te\u015fekk\u00fcr ederim.<\/p>","protected":false},"excerpt":{"rendered":"<p>W tym wpisie przyjrzymy si\u0119, czym jest r\u00f3wnanie kwadratowe, jakie warunki musz\u0105 by\u0107 spe\u0142nione, aby mo\u017cna je by\u0142o rozwi\u0105za\u0107, oraz jak oblicza\u0107 wyr\u00f3\u017cnik (delta), kt\u00f3ry decyduje o liczbie rozwi\u0105za\u0144. Om\u00f3wimy r\u00f3wnie\u017c przyk\u0142ady oblicze\u0144 krok po kroku, kt\u00f3re mo\u017cna \u0142atwo wykona\u0107 przy pomocy kalkulatora r\u00f3wna\u0144 kwadratowych. Dowiesz si\u0119, jak wygl\u0105daj\u0105 r\u00f3wnania z jednym, dwoma lub brakiem [&hellip;]<\/p>\n","protected":false},"author":255930052,"featured_media":1290,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"_wpas_customize_per_network":false,"jetpack_post_was_ever_published":false},"categories":[14817],"tags":[14848,14849],"class_list":["post-1276","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-pozostale","tag-delta","tag-rownanie-kwadratowe"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rownanie-1.jpg?fit=306%2C71&ssl=1","jetpack_shortlink":"https:\/\/wp.me\/pg3flK-kA","jetpack-related-posts":[],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/posts\/1276","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/comments?post=1276"}],"version-history":[{"count":12,"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/posts\/1276\/revisions"}],"predecessor-version":[{"id":3081,"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/posts\/1276\/revisions\/3081"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/media\/1290"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/media?parent=1276"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/categories?post=1276"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/tags?post=1276"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}