{"id":2860,"date":"2024-11-10T14:24:11","date_gmt":"2024-11-10T11:24:11","guid":{"rendered":"https:\/\/currconv.ru\/blog\/11513-2\/"},"modified":"2024-11-10T14:24:11","modified_gmt":"2024-11-10T11:24:11","slug":"11513","status":"publish","type":"post","link":"https:\/\/currconv.ru\/blog\/11513\/","title":{"rendered":"\u041f\u0440\u0438\u043c\u0435\u0440 \u211620 \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^2-25)^2+(x^2+2x-15)^2=0. <\/span><\/p>\n<p><span id=\"more-11513\"><\/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>\u0421\u0443\u043c\u043c\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 \u0440\u0430\u0432\u043d\u0430 \u043d\u0443\u043b\u044e. \u0417\u043d\u0430\u0447\u0438\u0442 \u043a\u0430\u0436\u0434\u043e\u0435 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u043e\u0435 \u0434\u043e\u043b\u0436\u043d\u043e \u0431\u044b\u0442\u044c \u0440\u0430\u0432\u043d\u043e \u043d\u0443\u043b\u044e. \u0417\u0430\u043f\u0438\u0448\u0435\u043c:<\/p>\n<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{cases}<br \/>\n(x^2-25)^2=0,       \\\\<br \/>\n(x^2+2x-15)^2=0.<br \/>\n\\end{cases}<br \/>\n\\implies<br \/>\n<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{cases}<br \/>\nx^2-25=0,       \\\\<br \/>\nx^2+2x-15=0.<br \/>\n\\end{cases}<br \/>\n<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x^2-25=0;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x^2=25;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x_{1,2}=\\pm 5.<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x^2+2x-15=0;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">D=b^2-4ac=4-4 \\cdot 1 \\cdot (-15)=64;<\/span><\/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\"> \\displaystyle x_3=\\frac{-b+\\sqrt{D}}{2a}=\\frac{-2+8}{2}=3;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\"> \\displaystyle x_4=\\frac{-b-\\sqrt{D}}{2a}=\\frac{-2-8}{2}=-5.<\/span><\/p>\n<p>\u041e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0439 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044c <span class=\"katex-eq\" data-katex-display=\"false\">x=-5<\/span>. \u0417\u043d\u0430\u0447\u0438\u0442 \u043e\u043d \u0438 \u0438\u0434\u0435\u0442 \u0432 \u043e\u0442\u0432\u0435\u0442.<\/p>\n<\/p>\n<p><strong>\u041e\u0442\u0432\u0435\u0442:<\/strong>&nbsp;<span class=\"katex-eq\" data-katex-display=\"false\">-5.<\/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. \u0422\u0438\u043f\u043e\u0432\u044b\u0435 \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0430\u0446\u0438\u043e\u043d\u043d\u044b\u0435 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u044b. 36 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u0432. \u042f\u0449\u0435\u043d\u043a\u043e \u0418. \u0412. (\u0432\u0430\u0440\u0438\u0430\u043d\u0442 29) <\/p>\n<p>\u041e\u0413\u042d-2024. \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430. \u0422\u0438\u043f\u043e\u0432\u044b\u0435 \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0430\u0446\u0438\u043e\u043d\u043d\u044b\u0435 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u044b. 36 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u0432 (\u0432\u0430\u0440\u0438\u0430\u043d\u0442 19) <\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0420\u0435\u0448\u0438\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 (x^2-25)^2+(x^2+2x-15)^2=0. \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0421\u0443\u043c\u043c\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 \u0440\u0430\u0432\u043d\u0430 \u043d\u0443\u043b\u044e. \u0417\u043d\u0430\u0447\u0438\u0442 \u043a\u0430\u0436\u0434\u043e\u0435 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u043e\u0435 \u0434\u043e\u043b\u0436\u043d\u043e \u0431\u044b\u0442\u044c \u0440\u0430\u0432\u043d\u043e \u043d\u0443\u043b\u044e. \u0417\u0430\u043f\u0438\u0448\u0435\u043c: \\begin{cases} (x^2-25)^2=0, \\\\ (x^2+2x-15)^2=0. \\end{cases} \\implies \\begin{cases} x^2-25=0, \\\\ x^2+2x-15=0. \\end{cases} x^2-25=0; x^2=25; x_{1,2}=\\pm 5. x^2+2x-15=0; D=b^2-4ac=4-4 \\cdot 1 \\cdot (-15)=64; \\displaystyle x_3=\\frac{-b+\\sqrt{D}}{2a}=\\frac{-2+8}{2}=3; \\displaystyle x_4=\\frac{-b-\\sqrt{D}}{2a}=\\frac{-2-8}{2}=-5. \u041e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0439 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044c x=-5. \u0417\u043d\u0430\u0447\u0438\u0442 \u043e\u043d \u0438 \u0438\u0434\u0435\u0442 \u0432 \u043e\u0442\u0432\u0435\u0442. \u041e\u0442\u0432\u0435\u0442:&nbsp;-5. \u0418\u0441\u0442\u043e\u0447\u043d\u0438\u043a: \u041e\u0413\u042d-2025. \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430. \u0422\u0438\u043f\u043e\u0432\u044b\u0435 [&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-2860","post","type-post","status-publish","format-standard","hentry","category-zadanie-20"],"_links":{"self":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/2860","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=2860"}],"version-history":[{"count":0,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/2860\/revisions"}],"wp:attachment":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/media?parent=2860"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/categories?post=2860"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/tags?post=2860"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}