{"id":3122,"date":"2022-02-02T10:10:28","date_gmt":"2022-02-02T10:10:28","guid":{"rendered":"https:\/\/umschool.net\/library\/?p=3122"},"modified":"2026-06-29T13:41:18","modified_gmt":"2026-06-29T13:41:18","slug":"ravnosilnost-uravnenij","status":"publish","type":"post","link":"https:\/\/umschool.net\/library\/matematika\/ravnosilnost-uravnenij\/","title":{"rendered":"\u0420\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u043e\u0441\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 (\u0437\u043d\u0430\u043a \u2b04)"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\"><strong>\u0420\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u043e\u0441\u0442\u044c, \u0441\u043b\u0435\u0434\u0441\u0442\u0432\u0438\u0435<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0415\u0441\u043b\u0438 \u043a\u043e\u0440\u043d\u0438 \u0434\u0432\u0443\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0435 \u0438\u043b\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043d\u0435 \u0438\u043c\u0435\u044e\u0442 \u043a\u043e\u0440\u043d\u0435\u0439, \u0442\u043e\u0433\u0434\u0430 \u044d\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f <em>\u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u044b\u043c\u0438<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0414\u043b\u044f \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u043e\u0441\u0442\u0438 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u044e\u0442 \u0437\u043d\u0430\u043a \u2b04<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0417\u0430\u043f\u0438\u0441\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u044d\u0442\u043e \u0442\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0415\u0441\u043b\u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u044f <strong>f(x) = g(x) \u0438 p(x) = h(x)<\/strong> \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442, \u0442\u043e\u0433\u0434\u0430 <strong>f(x) = g(x) \u2b04 p(x) = h(x)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0415\u0441\u043b\u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f\u043c\u0438 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0442\u043e\u0433\u0434\u0430 \u0432\u0442\u043e\u0440\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f <strong>\u0441\u043b\u0435\u0434\u0441\u0442\u0432\u0438\u0435\u043c<\/strong> \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u043f\u0440\u0438\u0447\u0435\u043c \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u0439 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043c\u043e\u0436\u0435\u0442 \u0441\u043e\u0434\u0435\u0440\u0436\u0430\u0442\u044c \u043a\u043e\u0440\u043d\u0438, \u043d\u0435 \u044f\u0432\u043b\u044f\u044e\u0449\u0438\u0435\u0441\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f\u043c\u0438 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0442\u0430\u043a\u0438\u0435 \u043f\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0438\u0435 \u043a\u043e\u0440\u043d\u0438<em> <\/em>\u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u0438\u0441\u043a\u043b\u044e\u0447\u0430\u0442\u044c \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u043e\u0439<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0415\u0441\u043b\u0438 \u0432\u0441\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f <strong>f(x) = g(x)<\/strong> \u043d\u0430\u0445\u043e\u0434\u044f\u0442\u0441\u044f <strong>\u0432 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u0439 p(x) = h(x)<\/strong>, \u0442\u043e\u0433\u0434\u0430 <strong>p(x) = h(x) \u0441\u043b\u0435\u0434\u0441\u0442\u0432\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f f(x) = g(x)&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0412\u0430\u0436\u043d\u043e! \u0421\u043b\u0435\u0434\u0441\u0442\u0432\u0438\u0435 \u043d\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u044b\u043c \u043f\u0435\u0440\u0435\u0445\u043e\u0434\u043e\u043c, \u0442\u0430\u043a \u043a\u0430\u043a \u043c\u043e\u0436\u0435\u0442 \u0441\u043e\u0434\u0435\u0440\u0436\u0430\u0442\u044c \u043f\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0438\u0435 \u043a\u043e\u0440\u043d\u0438<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u0422\u0435\u043e\u0440\u0435\u043c\u044b \u0434\u043b\u044f \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439<\/strong><\/h2>\n\n\n\n<ol class=\"wp-block-list\"><li>\u0415\u0441\u043b\u0438 \u043e\u0434\u0438\u043d \u0438\u0437 \u0447\u043b\u0435\u043d\u043e\u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0435\u0440\u0435\u043d\u0435\u0441\u0442\u0438 \u0432 \u0434\u0440\u0443\u0433\u0443\u044e \u0447\u0430\u0441\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0441 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u043c \u0437\u043d\u0430\u043a\u043e\u043c, \u0442\u043e\u0433\u0434\u0430 \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u0441\u044f \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435&nbsp;<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>f(x) &#8211; g(x) = 0 \u2b04 f(x) = g(x)<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\"><li>\u0415\u0441\u043b\u0438 \u043e\u0431\u0435 \u0447\u0430\u0441\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0438\u043b\u0438 \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u043d\u0430 \u043e\u0434\u043d\u0443 \u0438 \u0442\u0443 \u0436\u0435 \u043d\u0435\u0440\u0430\u0432\u043d\u0443\u044e \u043d\u0443\u043b\u044e \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0443, \u0442\u043e\u0433\u0434\u0430 \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u0441\u044f \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>f(x) = g(x) \u2b04 f(x) * a = g(x) * a<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e \u0438 \u0441 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435\u043c \u0438\u043b\u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u0435\u043c \u043d\u0430 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 p(x), \u0435\u0441\u043b\u0438 p(x) \u0438\u043c\u0435\u0435\u0442 \u0441\u043c\u044b\u0441\u043b \u043d\u0430 \u0432\u0441\u0435\u0439 <em>\u043e\u0431\u043b\u0430\u0441\u0442\u0438 \u0434\u043e\u043f\u0443\u0441\u0442\u0438\u043c\u044b\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 f(x) \u0438 g(x)<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>f(x) = g(x) \u2b04 f(x) * p(x) = g(x) * p(x)<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"3\"><li>\u0415\u0441\u043b\u0438 \u0434\u0440\u043e\u0431\u043d\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0440\u0430\u0432\u043d\u043e \u043d\u0443\u043b\u044e, \u0442\u043e\u0433\u0434\u0430 \u044d\u0442\u043e \u043c\u043e\u0436\u043d\u043e \u0441\u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u0443\u044e \u0441\u0438\u0441\u0442\u0435\u043c\u0443, \u0433\u0434\u0435 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e, \u0430 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u043d\u0435 \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e<\/li><\/ol>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>frac{fleft(xright)}{gleft(xright)}  \u2b04 f(x)=0 g(x)neq0 <\/pre><\/div>\n\n\n\n<ol class=\"wp-block-list\" start=\"4\"><li>\u0415\u0441\u043b\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0439 \u0440\u0430\u0432\u043d\u043e \u043d\u0443\u043b\u044e, \u0442\u043e\u0433\u0434\u0430 \u0438\u043b\u0438 \u043f\u0435\u0440\u0432\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u043d\u043e \u043d\u0443\u043b\u044e, \u0438\u043b\u0438 \u0432\u0442\u043e\u0440\u043e\u0435, \u0442\u0430\u043a\u0430\u044f \u0437\u0430\u043f\u0438\u0441\u044c \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u0430 \u0438\u0441\u0445\u043e\u0434\u043d\u043e\u0439<\/li><\/ol>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>f(x)*g(x)=0 \u2b04 frac{fleft(xright)=0}{gleft(xright)=0}  <\/pre><\/div>\n\n\n\n<ol class=\"wp-block-list\" start=\"5\"><li>\u0415\u0441\u043b\u0438 \u0432\u043e\u0437\u0432\u0435\u0441\u0442\u0438 \u043e\u0431\u0435 \u0447\u0430\u0441\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c n, \u0433\u0434\u0435 n \u2013 \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0435, \u0442\u043e\u0433\u0434\u0430 \u0442\u0430\u043a\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u044b\u043c \u0438\u0441\u0445\u043e\u0434\u043d\u043e\u043c\u0443<\/li><\/ol>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>fleft(xright)=gleft(xright) \u2b04 {fleft(xright)}^n={gleft(xright)}^n<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u0410 \u0435\u0441\u043b\u0438 n \u2013 \u0447\u0435\u0442\u043d\u043e\u0435, \u0438 \u043e\u0431\u0435 \u0447\u0430\u0441\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043d\u0435\u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435, \u0442\u043e\u0433\u0434\u0430 \u043f\u043e\u0441\u043b\u0435 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c n \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u0441\u044f \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 <\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>fleft(xright)geq0, gleft(xright)geq0,fleft(xright)=gleft(xright) \u2b04 <\/pre><\/div>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\u2b04  {fleft(xright)}^n={gleft(xright)}^n<\/pre><\/div>\n\n\n\n<ol class=\"wp-block-list\" start=\"6\"><li>\u0415\u0441\u043b\u0438 \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 f(x) \u0440\u0430\u0432\u043d\u043e \u044d\u0442\u043e\u043c\u0443 \u0436\u0435 \u0447\u0438\u0441\u043b\u0443 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 g(x), \u0442\u043e\u0433\u0434\u0430 \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u0438\u0440\u0430\u0432\u043d\u044f\u0442\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438, \u044d\u0442\u043e \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u044b\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c<\/li><\/ol>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>a^{fleft(xright)} = a^{fleft(xright)} \u2b04  f(x)=g(x)<\/pre><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u041f\u0440\u0430\u043a\u0442\u0438\u043a\u0430 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u044f<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>left(x+4right)^3 =  left(2+2xright)^3\u2b04 x+4=2+2x<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u0440\u0438\u043c\u0435\u043d\u0438\u043b\u0438 \u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u043f\u043e\u0434 \u043d\u043e\u043c\u0435\u0440\u043e\u043c 5 \u0434\u043b\u044f \u0437\u0430\u043f\u0438\u0441\u0438 \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0443 \u043f\u043e\u043b\u0443\u0447\u0438\u0432\u0448\u0435\u0433\u043e\u0441\u044f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0435\u0441\u0442\u044c \u0442\u043e\u043b\u044c\u043a\u043e \u043e\u0434\u0438\u043d \u043a\u043e\u0440\u0435\u043d\u044c \u0445 = 2, \u0438 \u043e\u043d \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043a\u043e\u0440\u043d\u044e \u0438\u0437\u043d\u0430\u0447\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0435\u0449\u0435 \u043e\u0434\u0438\u043d \u043f\u0440\u0438\u043c\u0435\u0440 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>left(4x-1right)astleft(5+xright)=0<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u0414\u0430\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u043e \u0442\u0430\u043a\u043e\u0439 \u0437\u0430\u043f\u0438\u0441\u0438 \u043f\u043e \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u043f\u043e\u0434 \u043d\u043e\u043c\u0435\u0440\u043e\u043c 4<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>4x-1=0  \u0438\u043b\u0438 5+x=0<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0438\u043c\u0435\u044e\u0442 \u043a\u043e\u0440\u043d\u0438 1\/4 \u0438 -5, \u0437\u043d\u0430\u0447\u0438\u0442 \u043a\u043e\u0440\u043d\u044f\u043c\u0438 \u0438\u0441\u0445\u043e\u0434\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f 1\/4 \u0438 -5.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u0424\u0430\u043a\u0442\u0447\u0435\u043a<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>\u0420\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u044b\u043c \u043f\u0435\u0440\u0435\u0445\u043e\u0434\u043e\u043c<\/strong> \u043d\u0430\u0437\u044b\u0432\u0430\u044e\u0442 \u043f\u0435\u0440\u0435\u0445\u043e\u0434 \u043e\u0442 \u043e\u0434\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043a \u0434\u0440\u0443\u0433\u043e\u043c\u0443, \u0435\u0441\u043b\u0438 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e \u0438\u0445 \u043a\u043e\u0440\u043d\u0435\u0439 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u0435\u0442. <\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>\u0421\u043b\u0435\u0434\u0441\u0442\u0432\u0438\u0435\u043c \u043d\u0430\u0437\u044b\u0432\u0430\u044e\u0442<\/strong> \u043f\u0435\u0440\u0435\u0445\u043e\u0434 \u043e\u0442 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043a\u043e \u0432\u0442\u043e\u0440\u043e\u043c\u0443, \u043f\u0440\u0438\u0447\u0435\u043c \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e \u043a\u043e\u0440\u043d\u0435\u0439 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043c\u043e\u0436\u0435\u0442 \u0441\u043e\u0434\u0435\u0440\u0436\u0430\u0442\u044c \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u043a\u043e\u0440\u043d\u0438 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u043d\u043e \u0438 \u043f\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0438\u0435 \u043a\u043e\u0440\u043d\u0438. \u0421\u043b\u0435\u0434\u0441\u0442\u0432\u0438\u0435 \u043d\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u044b\u043c \u043f\u0435\u0440\u0435\u0445\u043e\u0434\u043e\u043c. <\/li><li>\u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0442 <strong>\u0441\u043f\u0435\u0446\u0438\u0430\u043b\u044c\u043d\u044b\u0435 \u0442\u0435\u043e\u0440\u0435\u043c\u044b<\/strong>, \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u043c\u043e\u0436\u043d\u043e \u043e\u0441\u0443\u0449\u0435\u0441\u0442\u0432\u043b\u044f\u0442\u044c \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u044b\u0435 \u043f\u0435\u0440\u0435\u0445\u043e\u0434\u044b \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f\u0445, \u043e\u043d\u0438 \u0431\u044b\u043b\u0438 \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u043d\u044b \u0432\u043e \u0432\u0442\u043e\u0440\u043e\u043c \u0431\u043b\u043e\u043a\u0435<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\u041f\u0440\u043e\u0432\u0435\u0440\u044c \u0441\u0435\u0431\u044f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043a\u043e\u0440\u043d\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u043e\u0441\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439:<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u0417\u0430\u0434\u0430\u043d\u0438\u0435 1<\/h4>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\t(x-2)(x^4+2x^3+4) = (2x+1)(x^4+2x^3+4)<\/pre><\/div>\n\n\n\n<ol class=\"wp-block-list\"><li>4<\/li><li>-3<\/li><li>-1<\/li><li>8<\/li><\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u0417\u0430\u0434\u0430\u043d\u0438\u0435 2<\/h4>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>3^{2x}=3^{15+3x-8}<\/pre><\/div>\n\n\n\n<ol class=\"wp-block-list\"><li>1<\/li><li>12<\/li><li>-7<\/li><li>-2<\/li><\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u0417\u0430\u0434\u0430\u043d\u0438\u0435 3<\/h4>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\t6x + 4 = 2x - 8<\/pre><\/div>\n\n\n\n<ol class=\"wp-block-list\"><li>-1<\/li><li>3<\/li><li>5<\/li><li>-3<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u041e\u0442\u0432\u0435\u0442\u044b: 1.<\/strong>&nbsp;\u2014 2;&nbsp;<strong>2.<\/strong>&nbsp;\u2014 3;&nbsp;<strong>3.&nbsp;<\/strong>\u2014 4.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0420\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u043e\u0441\u0442\u044c, \u0441\u043b\u0435\u0434\u0441\u0442\u0432\u0438\u0435 \u0415\u0441\u043b\u0438 \u043a\u043e\u0440\u043d\u0438 \u0434\u0432\u0443\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0435 \u0438\u043b\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043d\u0435 \u0438\u043c\u0435\u044e\u0442 \u043a\u043e\u0440\u043d\u0435\u0439, \u0442\u043e\u0433\u0434\u0430 \u044d\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u044b\u043c\u0438 \u0414\u043b\u044f \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u043e\u0441\u0442\u0438 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u044e\u0442 \u0437\u043d\u0430\u043a \u2b04 \u0417\u0430\u043f\u0438\u0441\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u044d\u0442\u043e \u0442\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:&nbsp;&nbsp; \u0415\u0441\u043b\u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u044f f(x) = g(x) \u0438 p(x) = h(x) \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442, \u0442\u043e\u0433\u0434\u0430 f(x) = g(x) \u2b04 p(x) = h(x) \u0415\u0441\u043b\u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f\u043c\u0438 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0442\u043e\u0433\u0434\u0430 \u0432\u0442\u043e\u0440\u043e\u0435 [&hellip;]<\/p>\n","protected":false},"author":9,"featured_media":37435,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[22],"tags":[1394],"class_list":["post-3122","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika","tag-uravneniya"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0420\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u043e\u0441\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439<\/title>\n<meta name=\"description\" content=\"\u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0440\u0430\u0432\u043d\u043e\u0441\u0438\u043b\u044c\u043d\u043e\u0441\u0442\u044c? \u041a\u0430\u043a\u043e\u0439 \u0437\u043d\u0430\u043a \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f 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