{"id":507,"date":"2025-01-28T02:00:12","date_gmt":"2025-01-27T23:00:12","guid":{"rendered":"https:\/\/currconv.ru\/blog\/15846-2\/"},"modified":"2025-01-28T02:00:12","modified_gmt":"2025-01-27T23:00:12","slug":"15846","status":"publish","type":"post","link":"https:\/\/currconv.ru\/blog\/15846\/","title":{"rendered":"\u041f\u0440\u0438\u043c\u0435\u0440 \u211657 \u0438\u0437 \u0437\u0430\u0434\u0430\u043d\u0438\u044f 20"},"content":{"rendered":"<div class=\"fpm_start\"><\/div>\n<p>\u0420\u0435\u0448\u0438\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 <span class=\"katex-eq\" data-katex-display=\"false\">(x^2-49)^2+(x^2+4x-21)^2=0.<\/span><\/p>\n<p><span id=\"more-15846\"><\/span><\/p>\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\"><strong>\u0420\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/h2>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">(x^2-49)^2+(x^2+4x-21)^2=0;<\/span><\/p>\n<p>\u0420\u0435\u0448\u0438\u043c \u043f\u0435\u0440\u0432\u0443\u044e \u0447\u0430\u0441\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x^2-49=0<\/span><\/p>\n<p>\u0412\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 <span class=\"katex-eq\" data-katex-display=\"false\">a^2-b^2=(a-b)(a+b):<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x^2-49=x^2-7^2=(x-7)(x+7).<\/span><\/p>\n<p>\u0420\u0435\u0448\u0438\u043c \u0432\u0442\u043e\u0440\u0443\u044e \u0447\u0430\u0441\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x^2+4x-21=0;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">D=16-4 \\cdot 1 \\cdot (-21)=16+84=100;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle x_1=\\frac{-4-10}{2}=-7;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle x_2=\\frac{-4+10}{2}=3.<\/span><\/p>\n<p>\u0417\u043d\u0430\u0447\u0438\u0442, <span class=\"katex-eq\" data-katex-display=\"false\">x^2+4x-21=(x-3)(x+7).<\/span><\/p>\n<p>\u041f\u043e\u0441\u043b\u0435 \u0432\u0441\u0435\u0445 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0439 \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435:<\/p>\n<p><script data-noptimize=\"\" data-wpfc-render=\"false\">\nfpm_start( \"true\" );\n<\/script><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">((x-7)(x+7))^2+((x-3)(x+7))^2=0;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">(x-7)^2(x+7)^2+(x-3)^2(x+7)^2=0;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">(x+7)^2 \\cdot ((x-7)^2-(x-3)^2)=0;<\/span><\/p>\n<p>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0430\u0432\u043d\u043e \u043d\u0443\u043b\u044e, \u043a\u043e\u0433\u0434\u0430 <span class=\"katex-eq\" data-katex-display=\"false\">(x+7)^2=0<\/span> \u0438\u043b\u0438 <span class=\"katex-eq\" data-katex-display=\"false\">(x-7)^2-(x-3)^2=0.<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">(x+7)^2=0;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x=-7.<\/span><\/p>\n<p>\u0418\u041b\u0418<\/p>\n<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">(x-7)^2-(x-3)^2=0;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x^2-14x+49+x^2-6x+9=0;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">2x^2-20x+58=0;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">D=400-4 \\cdot 2 \\cdot 58=400-464=-64<\/span> &#8211; \u043a\u043e\u0440\u043d\u0435\u0439 \u043d\u0435\u0442.<\/p>\n<p><strong>\u041e\u0442\u0432\u0435\u0442:<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">-7.<\/span><span class=\"MathJax\" id=\"MathJax-Element-4-Frame\" tabindex=\"0\" style=\"\"><nobr><span class=\"math\" id=\"MathJax-Span-15\" style=\"width: 1.2em; display: inline-block;\"><span style=\"display: inline-block; position: relative; width: 1.008em; height: 0px; font-size: 116%;\"><span style=\"position: absolute; clip: rect(1.535em, 1000.96em, 2.493em, -999.998em); top: -2.344em; left: 0em;\"><span style=\"display: inline-block; width: 0px; height: 2.349em;\"><\/span><span style=\"display: inline-block; width: 0px; height: 2.349em;\"><\/span><\/span><\/span><\/span><\/nobr><\/span><\/p>\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n<p><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong>\u0418\u0441\u0442\u043e\u0447\u043d\u0438\u043a:<\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong> \u041e\u0413\u042d 2025. \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430. 50 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u0432. \u0422\u0438\u043f\u043e\u0432\u044b\u0435 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u044b \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0430\u0446\u0438\u043e\u043d\u043d\u044b\u0445 \u0437\u0430\u0434\u0430\u043d\u0438\u0439 \u043e\u0442 \u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u0447\u0438\u043a\u043e\u0432 \u041e\u0413\u042d. \u042f\u0449\u0435\u043d\u043a\u043e \u0418. \u0412. (\u0432\u0430\u0440\u0438\u0430\u043d\u0442 27) <\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0420\u0435\u0448\u0438\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 (x^2-49)^2+(x^2+4x-21)^2=0. \u0420\u0435\u0448\u0435\u043d\u0438\u0435 (x^2-49)^2+(x^2+4x-21)^2=0; \u0420\u0435\u0448\u0438\u043c \u043f\u0435\u0440\u0432\u0443\u044e \u0447\u0430\u0441\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f: x^2-49=0 \u0412\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 a^2-b^2=(a-b)(a+b): x^2-49=x^2-7^2=(x-7)(x+7). \u0420\u0435\u0448\u0438\u043c \u0432\u0442\u043e\u0440\u0443\u044e \u0447\u0430\u0441\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f: x^2+4x-21=0; D=16-4 \\cdot 1 \\cdot (-21)=16+84=100; \\displaystyle x_1=\\frac{-4-10}{2}=-7; \\displaystyle x_2=\\frac{-4+10}{2}=3. \u0417\u043d\u0430\u0447\u0438\u0442, x^2+4x-21=(x-3)(x+7). \u041f\u043e\u0441\u043b\u0435 \u0432\u0441\u0435\u0445 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0439 \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435: ((x-7)(x+7))^2+((x-3)(x+7))^2=0; (x-7)^2(x+7)^2+(x-3)^2(x+7)^2=0; (x+7)^2 \\cdot ((x-7)^2-(x-3)^2)=0; \u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0430\u0432\u043d\u043e \u043d\u0443\u043b\u044e, \u043a\u043e\u0433\u0434\u0430 (x+7)^2=0 \u0438\u043b\u0438 (x-7)^2-(x-3)^2=0. (x+7)^2=0; x=-7. \u0418\u041b\u0418 (x-7)^2-(x-3)^2=0; x^2-14x+49+x^2-6x+9=0; [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[59],"tags":[],"class_list":["post-507","post","type-post","status-publish","format-standard","hentry","category-zadanie-20"],"_links":{"self":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/507","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/comments?post=507"}],"version-history":[{"count":0,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/507\/revisions"}],"wp:attachment":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/media?parent=507"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/categories?post=507"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/tags?post=507"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}