{"id":4788,"date":"2022-09-02T15:39:20","date_gmt":"2022-09-02T13:39:20","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/zlomky-priklad-2\/"},"modified":"2022-09-02T15:39:20","modified_gmt":"2022-09-02T13:39:20","slug":"zlomky-priklad-2","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/zlomky-priklad-2\/","title":{"rendered":"Zlomky &#8211; p\u0159\u00edklad 2"},"content":{"rendered":"<p><strong>Zad\u00e1n\u00ed:<\/strong> $$\\frac{y-1-\\frac{1}{y-1}}{2y^{2}-4y}=$$<br \/>Pro <em><strong>y&nbsp;\u2208 R \/&nbsp;{0; 1; 2}<\/strong><\/em> zjednodu\u0161te<\/p>\n<p><strong>\u0158e\u0161en\u00ed:<\/strong><\/p>\n<p>1) Uprav\u00edme \u010ditatele, aby bylo v\u0161e ve zlomku se stejn\u00fdm jmenovatelem<br \/>$$\\frac{\\frac{y^{2}-y-y+1-1}{y-1}}{2y(y-2)}$$<br \/>2) Slo\u017een\u00fd zlomek si p\u0159evedeme na 2 zlomky<br \/>$$\\frac{y^{2}-2y}{y-1}\\cdot \\frac{1}{2y(y-2)}$$<br \/>3) \u010citatele uprav\u00edme tak, \u017ee vytkneme y<br \/>$$\\frac{y (y-2)}{2y (y-1)(y-2)}$$<br \/>4) V \u010ditateli i jmenovateli pokr\u00e1t\u00edme y(y-2)<br \/>$$\\frac{1}{2(y-1)}$$<br \/>5) V posledn\u00edm kroku se u\u017e jen zbav\u00edme z\u00e1vorky ve jmenovateli rozn\u00e1soben\u00edm 2<br \/>$$\\frac{1}{2y-2}$$<\/p>\n<p>\u010casov\u00e1 n\u00e1ro\u010dnost: 5 minut<\/p>\n<p>Jedn\u00e1 se o p\u0159\u00edklad z maturitn\u00edho testu.<\/p>\n","protected":false},"comment_status":"open","ping_status":"closed","template":"","class_list":["post-4788","lesson","type-lesson","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Zlomky - p\u0159\u00edklad 2 | 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\/zlomky-priklad-2\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Zlomky - p\u0159\u00edklad 2 | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"Zad\u00e1n\u00ed: $$frac{y-1-frac{1}{y-1}}{2y^{2}-4y}=$$Pro y&nbsp;\u2208 R \/&nbsp;{0; 1; 2} zjednodu\u0161te \u0158e\u0161en\u00ed: 1) Uprav\u00edme \u010ditatele, aby bylo v\u0161e ve zlomku se stejn\u00fdm jmenovatelem$$frac{frac{y^{2}-y-y+1-1}{y-1}}{2y(y-2)}$$2) Slo\u017een\u00fd zlomek si p\u0159evedeme na 2 zlomky$$frac{y^{2}-2y}{y-1}cdot frac{1}{2y(y-2)}$$3) \u010citatele uprav\u00edme tak, \u017ee vytkneme y$$frac{y (y-2)}{2y (y-1)(y-2)}$$4) V \u010ditateli i jmenovateli pokr\u00e1t\u00edme y(y-2)$$frac{1}{2(y-1)}$$5) V posledn\u00edm kroku se u\u017e jen zbav\u00edme z\u00e1vorky ve jmenovateli rozn\u00e1soben\u00edm 2$$frac{1}{2y-2}$$ \u010casov\u00e1 ... 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