{"id":1797,"date":"2024-10-08T01:07:39","date_gmt":"2024-10-08T01:07:39","guid":{"rendered":"https:\/\/gbelentzas.sites.sch.gr\/?p=1797"},"modified":"2024-10-15T18:00:38","modified_gmt":"2024-10-15T18:00:38","slug":"1-3-%cf%80%ce%bf%ce%bb%cf%85%cf%8e%ce%bd%cf%85%ce%bc%ce%b1-%ce%b1%cf%81%ce%b9%ce%b8%ce%bc%ce%b7%cf%84%ce%b9%ce%ba%ce%ae-%cf%84%ce%b9%ce%bc%ce%ae-%cf%80%ce%bf%ce%bb%cf%85%cf%8e%ce%bd%cf%85%ce%bc","status":"publish","type":"post","link":"https:\/\/gbelentzas.sites.sch.gr\/?p=1797","title":{"rendered":"1.3 \u03a0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03b1 – \u0391\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03c4\u03b9\u03bc\u03ae \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf\u03c5"},"content":{"rendered":"

\u0397 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03c4\u03b9\u03bc\u03ae \u03b5\u03bd\u03cc\u03c2 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u03bc\u03b5 \u03bc\u03af\u03b1 \u03ae \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b5\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03cc\u03c4\u03b1\u03bd \u03b1\u03bd\u03c4\u03b9\u03ba\u03b1\u03c4\u03b1\u03c3\u03c4\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b9\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \u03c4\u03bf\u03c5 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u03bc\u03b5 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \u03ba\u03b1\u03b9 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03c4\u03b9\u03bc\u03ae \u03c4\u03b7\u03c2 \u03c0\u03b1\u03c1\u03b1\u03b3\u03cc\u03bc\u03b5\u03bd\u03b7\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae\u03c2 \u03ad\u03ba\u03c6\u03c1\u03b1\u03c3\u03b7\u03c2.<\/em><\/span><\/p>\n

\u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03b3\u03b9\u03b1 \"P(x) = 2x^2 - 3x + 5\" \u03ba\u03b1\u03b9 \"x = 5\", \u03b7 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03c4\u03b9\u03bc\u03ae \u03c4\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9:<\/p>\n

  <\/span>   <\/span>\"\[P(5) = 2·5^2 - 3·5 + 5 = 50 - 15 + 5 = 40\]\"<\/p>\n

\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 1<\/strong><\/p>\n

\u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03b7\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03c4\u03b9\u03bc\u03ae \u03c4\u03bf\u03c5 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \"P(x) = 2x^2 - 3x + 5\" \u03b3\u03b9\u03b1 \"x = 4\"<\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 2<\/strong><\/p>\n

\u0394\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \"Q(x) = x^3 - 2x^2 + x - 7\" . \u00a0\u039d\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03b5\u03c4\u03b5 \u03c4\u03bf \"Q(-2)\".<\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 3<\/strong><\/p>\n

\u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03b7\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03c4\u03b9\u03bc\u03ae \u03c4\u03bf\u03c5 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \"R(x) = 5x^2 + 4x - 3\" \u03cc\u03c4\u03b1\u03bd \"x = 0\" , \"x = 1\" \u03ba\u03b1\u03b9 \"x = -1\"<\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 4<\/strong><\/p>\n

\u0394\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \"P(x) = \alpha x^2 - 3x + 4\", \u03cc\u03c0\u03bf\u03c5 \"\alpha\" \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03bc\u03b5\u03c4\u03c1\u03bf\u03c2. \u0391\u03bd \u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03b7 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03c4\u03b9\u03bc\u03ae \u03c4\u03bf\u03c5 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u03b3\u03b9\u03b1 \"x = 2\" \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03b7 \u03bc\u03b5 10, \u03b2\u03c1\u03b5\u03af\u03c4\u03b5 \u03c4\u03b7\u03bd \u03c4\u03b9\u03bc\u03ae \u03c4\u03b7\u03c2 \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03c4\u03c1\u03bf\u03c5 \"\alpha\".<\/p>\n

\n

\u0392\u03b9\u03b2\u03bb\u03b9\u03bf\u03b3\u03c1\u03b1\u03c6\u03af\u03b1:<\/strong> \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u0393 \u0393\u03c5\u03bc\u03bd\u03b1\u03c3\u03af\u03bf\u03c5 (\u0394\u03b7\u03bc\u03ae\u03c4\u03c1\u03b9\u03bf\u03c2 \u0391\u03c1\u03b3\u03c5\u03c1\u03ac\u03ba\u03b7\u03c2 , \u03a0\u03b1\u03bd\u03b1\u03b3\u03b9\u03ce\u03c4\u03b7\u03c2 \u0392\u03bf\u03c5\u03c1\u03b3\u03ac\u03bd\u03b1\u03c2, \u039a\u03c9\u03bd\u03c3\u03c4\u03b1\u03bd\u03c4\u03af\u03bd\u03bf\u03c2 \u039c\u03b5\u03bd\u03c4\u03ae\u03c2, \u03a3\u03c4\u03b1\u03bc\u03b1\u03c4\u03bf\u03cd\u03bb\u03b1 \u03a4\u03c3\u03b9\u03ba\u03bf\u03c0\u03bf\u03cd\u03bb\u03bf\u03c5, \u039c\u03b9\u03c7\u03b1\u03ae\u03bb \u03a7\u03c1\u03c5\u03c3\u03bf\u03b2\u03ad\u03c1\u03b3\u03b7\u03c2 \u03a5.\u03a0\u0391\u0399.\u0398.)<\/p>\n

Creative Commons \u0391\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac \u0394\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03bf\u03cd – \u039c\u03b7 \u0395\u03bc\u03c0\u03bf\u03c1\u03b9\u03ba\u03ae \u03a7\u03c1\u03ae\u03c3\u03b7 – \u03a0\u03b1\u03c1\u03cc\u03bc\u03bf\u03b9\u03b1 \u0394\u03b9\u03b1\u03bd\u03bf\u03bc\u03ae 4.0 \u0394\u03b9\u03b5\u03b8\u03bd\u03ad\u03c2<\/strong><\/p>\n

\"\"<\/p>\n","protected":false},"excerpt":{"rendered":"

\u0397 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03c4\u03b9\u03bc\u03ae \u03b5\u03bd\u03cc\u03c2 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u03bc\u03b5 \u03bc\u03af\u03b1 \u03ae \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b5\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03cc\u03c4\u03b1\u03bd \u03b1\u03bd\u03c4\u03b9\u03ba\u03b1\u03c4\u03b1\u03c3\u03c4\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b9\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \u03c4\u03bf\u03c5 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u03bc\u03b5 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \u03ba\u03b1\u03b9 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03c4\u03b9\u03bc\u03ae \u03c4\u03b7\u03c2 \u03c0\u03b1\u03c1\u03b1\u03b3\u03cc\u03bc\u03b5\u03bd\u03b7\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae\u03c2 \u03ad\u03ba\u03c6\u03c1\u03b1\u03c3\u03b7\u03c2. \u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03b3\u03b9\u03b1 \u03ba\u03b1\u03b9 , \u03b7 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03c4\u03b9\u03bc\u03ae \u03c4\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9:     \u0386\u03c3\u03ba\u03b7\u03c3\u03b7 1 \u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03b7\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03c4\u03b9\u03bc\u03ae…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[40],"tags":[],"class_list":["post-1797","post","type-post","status-publish","format-standard","hentry","category-1--"],"featured_image_src":null,"author_info":{"display_name":"admin","author_link":"https:\/\/gbelentzas.sites.sch.gr\/?author=1"},"yoast_head":"\n1.3 \u03a0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03b1 - \u0391\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03c4\u03b9\u03bc\u03ae \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf\u03c5 - MathsEdu.gr<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/gbelentzas.sites.sch.gr\/?p=1797\" \/>\n<meta property=\"og:locale\" content=\"el_GR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"1.3 \u03a0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03b1 - \u0391\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03c4\u03b9\u03bc\u03ae \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf\u03c5 - MathsEdu.gr\" \/>\n<meta property=\"og:description\" content=\"\u0397 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03c4\u03b9\u03bc\u03ae \u03b5\u03bd\u03cc\u03c2 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u03bc\u03b5 \u03bc\u03af\u03b1 \u03ae \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b5\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03cc\u03c4\u03b1\u03bd \u03b1\u03bd\u03c4\u03b9\u03ba\u03b1\u03c4\u03b1\u03c3\u03c4\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b9\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \u03c4\u03bf\u03c5 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u03bc\u03b5 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \u03ba\u03b1\u03b9 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03c4\u03b9\u03bc\u03ae \u03c4\u03b7\u03c2 \u03c0\u03b1\u03c1\u03b1\u03b3\u03cc\u03bc\u03b5\u03bd\u03b7\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae\u03c2 \u03ad\u03ba\u03c6\u03c1\u03b1\u03c3\u03b7\u03c2. \u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03b3\u03b9\u03b1 \u03ba\u03b1\u03b9 , \u03b7 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03c4\u03b9\u03bc\u03ae \u03c4\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9:     \u0386\u03c3\u03ba\u03b7\u03c3\u03b7 1 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