{"id":1649,"date":"2022-03-23T17:16:36","date_gmt":"2022-03-23T17:16:36","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/jak-resit-linearni-rovnice\/"},"modified":"2022-03-23T19:35:07","modified_gmt":"2022-03-23T19:35:07","slug":"jak-resit-linearni-rovnice","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/jak-resit-linearni-rovnice\/","title":{"rendered":"Line\u00e1rn\u00ed rovnice z\u00e1klady"},"content":{"rendered":"<ul>\n<li>Line\u00e1rn\u00ed rovnice je druh rovnice, kter\u00e1 obsahuje jednu nezn\u00e1mou <em><strong>x<\/strong><\/em><\/li>\n<li><em><strong>x<\/strong><\/em> se v rovnici vyskytuje klidn\u011b i n\u011bkolikr\u00e1t, ale nen\u00ed umocn\u011bno ani odmocn\u011bno, nap\u0159\u00edklad:<\/li>\n<\/ul>\n<p>$$4x-5=3\\cdot(3-x)$$<\/p>\n<ul>\n<li>z\u00e1kladn\u00ed tvar line\u00e1rn\u00ed rovnice:<\/li>\n<\/ul>\n<p>$$ax+b=0$$<\/p>\n<ul>\n<li style=\"text-align: left\">v tomto tvaru jsou <strong><em>a<\/em> <\/strong>a <strong><em>b<\/em><\/strong> re\u00e1ln\u00e1 \u010d\u00edsla, p\u0159i\u010dem\u017e mus\u00ed platit, \u017ee <em><strong>a\u22600<\/strong><\/em><\/li>\n<li>\u010dlen <strong><em>ax<\/em><\/strong> naz\u00fdv\u00e1me <strong>line\u00e1rn\u00edm \u010dlenem<\/strong> (odtud pojmenov\u00e1n\u00ed line\u00e1rn\u00ed rovnice) a <em><strong>b<\/strong><\/em> je absolutn\u00ed \u010dlen<\/li>\n<li>P\u0159\u00edklad line\u00e1rn\u00ed rovnice v z\u00e1kladn\u00edm tvaru:<\/li>\n<\/ul>\n<p>$$3x+9=0$$<\/p>\n<p style=\"text-align: center\">V tomto p\u0159\u00edpad\u011b je <em><strong>a=3<\/strong><\/em> a<em><strong> b=9<\/strong><\/em><\/p>\n","protected":false},"comment_status":"closed","ping_status":"closed","template":"","class_list":["post-1649","lesson","type-lesson","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Line\u00e1rn\u00ed rovnice z\u00e1klady | Studijni-svet.cz<\/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:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/jak-resit-linearni-rovnice\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Line\u00e1rn\u00ed rovnice z\u00e1klady | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"Line\u00e1rn\u00ed rovnice je druh rovnice, kter\u00e1 obsahuje jednu nezn\u00e1mou x x se v rovnici vyskytuje klidn\u011b i n\u011bkolikr\u00e1t, ale nen\u00ed umocn\u011bno ani odmocn\u011bno, nap\u0159\u00edklad: $$4x-5=3cdot(3-x)$$ z\u00e1kladn\u00ed tvar line\u00e1rn\u00ed rovnice: $$ax+b=0$$ v tomto tvaru jsou a a b re\u00e1ln\u00e1 \u010d\u00edsla, p\u0159i\u010dem\u017e mus\u00ed platit, \u017ee a\u22600 \u010dlen ax naz\u00fdv\u00e1me line\u00e1rn\u00edm \u010dlenem (odtud pojmenov\u00e1n\u00ed line\u00e1rn\u00ed rovnice) a b ... 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