{"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\/hi\/post\/rownanie-kwadratowe\/","title":{"rendered":"\u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923"},"content":{"rendered":"<p class=\"wp-block-paragraph\">\u0907\u0938 \u092a\u094b\u0938\u094d\u091f \u092e\u0947\u0902 \u0939\u092e \u0926\u0947\u0916\u0947\u0902\u0917\u0947 \u0915\u093f \u092f\u0939 \u0915\u094d\u092f\u093e \u0939\u0948 <strong>\u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923<\/strong>, \u0909\u0928\u094d\u0939\u0947\u0902 \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u093f\u0928 \u0936\u0930\u094d\u0924\u094b\u0902 \u0915\u094b \u092a\u0942\u0930\u093e \u0915\u093f\u092f\u093e \u091c\u093e\u0928\u093e \u091a\u093e\u0939\u093f\u090f, \u0914\u0930 \u0935\u093f\u092d\u0947\u0926\u0915 (\u0921\u0947\u0932\u094d\u091f\u093e) \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902, \u091c\u094b \u0938\u092e\u093e\u0927\u093e\u0928\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0939\u092e \u091a\u0930\u0923-\u0926\u0930-\u091a\u0930\u0923 \u0917\u0923\u0928\u093e\u0913\u0902 \u0915\u0947 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u092a\u0930 \u092d\u0940 \u091a\u0930\u094d\u091a\u093e \u0915\u0930\u0947\u0902\u0917\u0947 \u091c\u093f\u0928\u094d\u0939\u0947\u0902 \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0906\u0938\u093e\u0928\u0940 \u0938\u0947 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u0906\u092a \u0938\u0940\u0916\u0947\u0902\u0917\u0947 \u0915\u093f \u090f\u0915, \u0926\u094b \u092f\u093e \u092c\u093f\u0928\u093e \u0938\u092e\u093e\u0927\u093e\u0928 \u0935\u093e\u0932\u0947 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u0948\u0938\u0947 \u0926\u093f\u0916\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0909\u0928\u094d\u0939\u0947\u0902 \u0939\u0932 \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u0938\u0939\u093e\u092f\u0924\u093e \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u0915\u0930\u0923\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u092d\u093e\u0935\u0940 \u0922\u0902\u0917 \u0938\u0947 \u0909\u092a\u092f\u094b\u0917 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902\u0964<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"9n26k\">\u0907\u0938 \u092a\u094d\u0930\u0935\u093f\u0937\u094d\u091f\u093f \u092e\u0947\u0902:<\/p>\n\n\n\n<ol id=\"cx3moqi0rmio0o104682\" class=\"wp-block-list\">\n<li><a href=\"#55gdd\">\u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u094d\u092f\u093e \u0939\u0948<\/a><\/li>\n\n\n\n<li><a href=\"#2ofsq\">\u0938\u092e\u093e\u0927\u093e\u0928\u092f\u094b\u0917\u094d\u092f\u0924\u093e \u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f<\/a><\/li>\n\n\n\n<li><a href=\"#di4o1\">\u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u093e \u0935\u093f\u092d\u0947\u0926\u0915 (\u0921\u0947\u0932\u094d\u091f\u093e)\u0964<\/a><\/li>\n\n\n\n<li><a href=\"#a4c8b\">\u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u0938\u0947 \u0928\u092e\u0942\u0928\u093e \u0938\u092e\u093e\u0927\u093e\u0928<\/a><\/li>\n<\/ol>\n\n\n\n<h1 id=\"55gdd\" class=\"wp-block-heading has-large-font-size\">\u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"4odb7\">\u090f\u0915 \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 (\u090f\u0915 \u0905\u091c\u094d\u091e\u093e\u0924 x \u0915\u0947 \u0938\u093e\u0925) \u090f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 \u091c\u093f\u0938\u0947 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0930\u0942\u092a \u092e\u0947\u0902 \u0918\u091f\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948:<\/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\/hi\/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=\"\u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923, \u0938\u0949\u0932\u094d\u0935\u0930\u090f\u0921\u0941\" 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\">\u091c\u0939\u093e\u0901 a,b,c \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0939\u0948\u0902 \u0914\u0930 a\u22600 \u0939\u0948\u0902\u0964<\/p>\n\n\n\n<h2 id=\"2ofsq\" class=\"wp-block-heading has-medium-font-size\">\u0938\u092e\u093e\u0927\u093e\u0928\u092f\u094b\u0917\u094d\u092f\u0924\u093e \u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"41mva\">\u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u092e\u0947\u0902 \u0938\u092e\u093e\u0927\u093e\u0928\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0935\u093f\u092d\u0947\u0926\u0915 (\u0921\u0947\u0932\u094d\u091f\u093e) \u0915\u0947 \u092e\u093e\u0928 \u092a\u0930 \u0928\u093f\u092e\u094d\u0928\u093e\u0928\u0941\u0938\u093e\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0915\u0930\u0924\u0940 \u0939\u0948:<\/p>\n\n\n\n<ul id=\"c2eriqi0rmio0o104695\" class=\"wp-block-list\">\n<li>\u2206&lt;0 \u2013 \u0915\u094b\u0908 \u0938\u092e\u093e\u0927\u093e\u0928 \u0928\u0939\u0940\u0902<\/li>\n\n\n\n<li>\u2206=0 - \u090f\u0915 \u0938\u092e\u093e\u0927\u093e\u0928<\/li>\n\n\n\n<li>\u2206&gt;0 - \u0926\u094b \u0938\u092e\u093e\u0927\u093e\u0928<\/li>\n<\/ul>\n\n\n\n<h3 id=\"di4o1\" class=\"wp-block-heading\">\u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u093e \u0935\u093f\u092d\u0947\u0926\u0915 (\u0921\u0947\u0932\u094d\u091f\u093e)\u0964<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u093e \u0935\u093f\u092d\u0947\u0926\u0915 \u092d\u0940 \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948 <strong>\u0921\u0947\u0932\u094d\u091f\u093e<\/strong> (\u0394). \u0926\u094b\u0928\u094b\u0902 \u0928\u093e\u092e\u094b\u0902 \u0915\u093e \u092a\u0930\u0938\u094d\u092a\u0930 \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"46ibo\">\u092f\u0926\u093f \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 <strong>\u0926\u094b \u0938\u092e\u093e\u0927\u093e\u0928<\/strong>, \u0939\u092e \u0909\u0928\u0915\u0940 \u0917\u0923\u0928\u093e \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092a\u0939\u0932\u0947 \u091a\u0930\u0923 \u092e\u0947\u0902, \u0906\u0907\u090f \u0938\u0942\u0924\u094d\u0930 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f \u0921\u0947\u0932\u094d\u091f\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0947\u0902:<\/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\/hi\/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\">\u092b\u093f\u0930 \u0939\u092e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u0942\u0924\u094d\u0930\u094b\u0902 \u0938\u0947 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u0947 \u0938\u092e\u093e\u0927\u093e\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0924\u0947 \u0939\u0948\u0902:<\/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\/hi\/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\">\u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u0938\u0947 \u0909\u0926\u093e\u0939\u0930\u0923 \u0938\u092e\u093e\u0927\u093e\u0928<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"8qpeh\">\u0928\u0940\u091a\u0947 \u092e\u0948\u0902\u0928\u0947 \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u094b \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u093e \u090f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u0936\u093e\u092e\u093f\u0932 \u0915\u093f\u092f\u093e \u0939\u0948\u0964<\/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>\u200b\u0928\u092e\u0942\u0928\u093e \u0938\u092e\u093e\u0927\u093e\u0928 \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u090f \u0917\u090f \u0925\u0947 <strong>\u092e\u0941\u092b\u093c\u094d\u0924 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930<\/strong> <a href=\"https:\/\/app.solveredu.com\/delta-calc\" target=\"_blank\" rel=\"noreferrer noopener\">\u0926\u094d\u0935\u093f\u0918\u093e\u0924\u0940\u092f \u0938\u092e\u0940\u0915\u0930\u0923<\/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\/hi\/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=\"\u0928\u092e\u0942\u0928\u093e \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923, \u0938\u0949\u0932\u094d\u0935\u0930\u090f\u0921\u0941, \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930\" 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\/hi\/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=\"\u0938\u0949\u0932\u094d\u0935\u0930\u090f\u0921\u0941 \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u093e \u090f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u0938\u092e\u093e\u0927\u093e\u0928\u0964\" 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>\u200b\u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u0947 \u0938\u092e\u093e\u0927\u093e\u0928 \u092d\u0940 \u0915\u0939\u0932\u093e\u0924\u0947 \u0939\u0948\u0902 <strong>\u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u0940 \u091c\u0921\u093c\u0947\u0902<\/strong>.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"2gg51\">\u092f\u0926\u093f \u092f\u0939 \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 <strong>\u090f\u0915 \u0939\u0932<\/strong> (\u0926\u094b\u0939\u0930\u093e)<\/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\/hi\/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\">\u0928\u0940\u091a\u0947 \u090f\u0915 \u0926\u094b\u0939\u0930\u0947 \u0938\u092e\u093e\u0927\u093e\u0928 \u0915\u0947 \u0938\u093e\u0925 \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u094b \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u093e \u090f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964<\/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\/hi\/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=\"\u0938\u0949\u0932\u094d\u0935\u0930\u090f\u0921\u0941 \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u093e \u090f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u0938\u092e\u093e\u0927\u093e\u0928\u0964\" 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\">\u092c\u0947\u091d\u093f\u091d\u0915 \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0947\u0902 <a href=\"https:\/\/app.solveredu.com\/delta-calc\" rel=\"noreferrer noopener\" target=\"_blank\"><strong>\u092e\u0941\u092b\u093c\u094d\u0924 \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930<\/strong><\/a>. \u0927\u0928\u094d\u092f\u0935\u093e\u0926<\/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\/hi\/wp-json\/wp\/v2\/posts\/1276","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/hi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/solveredu.com\/hi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/hi\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/hi\/wp-json\/wp\/v2\/comments?post=1276"}],"version-history":[{"count":12,"href":"https:\/\/solveredu.com\/hi\/wp-json\/wp\/v2\/posts\/1276\/revisions"}],"predecessor-version":[{"id":3081,"href":"https:\/\/solveredu.com\/hi\/wp-json\/wp\/v2\/posts\/1276\/revisions\/3081"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/hi\/wp-json\/wp\/v2\/media\/1290"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/hi\/wp-json\/wp\/v2\/media?parent=1276"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/hi\/wp-json\/wp\/v2\/categories?post=1276"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/hi\/wp-json\/wp\/v2\/tags?post=1276"}],"curies":[{"name":"\u0921\u092c\u094d\u0932\u094d\u092f\u0942\u092a\u0940","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}