{"version":"1.0","provider_name":"Studijni-svet.cz","provider_url":"https:\/\/studijni-svet.cz\/kurzy","author_name":"Studijni-svet.cz","author_url":"https:\/\/studijni-svet.cz\/kurzy\/author\/admin\/","title":"Zlomky - p\u0159\u00edklad 2 | Studijni-svet.cz","type":"rich","width":600,"height":338,"html":"<blockquote class=\"wp-embedded-content\" data-secret=\"aWS60zMF1X\"><a href=\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/zlomky-priklad-2\/\">Zlomky &#8211; p\u0159\u00edklad 2<\/a><\/blockquote><iframe sandbox=\"allow-scripts\" security=\"restricted\" src=\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/zlomky-priklad-2\/embed\/#?secret=aWS60zMF1X\" width=\"600\" height=\"338\" title=\"&#8222;Zlomky &#8211; p\u0159\u00edklad 2&#8220; &#8212; Studijni-svet.cz\" data-secret=\"aWS60zMF1X\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" class=\"wp-embedded-content\"><\/iframe><script>\n\/*! This file is auto-generated *\/\n!function(d,l){\"use strict\";l.querySelector&&d.addEventListener&&\"undefined\"!=typeof URL&&(d.wp=d.wp||{},d.wp.receiveEmbedMessage||(d.wp.receiveEmbedMessage=function(e){var t=e.data;if((t||t.secret||t.message||t.value)&&!\/[^a-zA-Z0-9]\/.test(t.secret)){for(var s,r,n,a=l.querySelectorAll('iframe[data-secret=\"'+t.secret+'\"]'),o=l.querySelectorAll('blockquote[data-secret=\"'+t.secret+'\"]'),c=new RegExp(\"^https?:$\",\"i\"),i=0;i<o.length;i++)o[i].style.display=\"none\";for(i=0;i<a.length;i++)s=a[i],e.source===s.contentWindow&&(s.removeAttribute(\"style\"),\"height\"===t.message?(1e3<(r=parseInt(t.value,10))?r=1e3:~~r<200&&(r=200),s.height=r):\"link\"===t.message&&(r=new URL(s.getAttribute(\"src\")),n=new URL(t.value),c.test(n.protocol))&&n.host===r.host&&l.activeElement===s&&(d.top.location.href=t.value))}},d.addEventListener(\"message\",d.wp.receiveEmbedMessage,!1),l.addEventListener(\"DOMContentLoaded\",function(){for(var e,t,s=l.querySelectorAll(\"iframe.wp-embedded-content\"),r=0;r<s.length;r++)(t=(e=s[r]).getAttribute(\"data-secret\"))||(t=Math.random().toString(36).substring(2,12),e.src+=\"#?secret=\"+t,e.setAttribute(\"data-secret\",t)),e.contentWindow.postMessage({message:\"ready\",secret:t},\"*\")},!1)))}(window,document);\n\/\/# sourceURL=https:\/\/studijni-svet.cz\/kurzy\/wp-includes\/js\/wp-embed.min.js\n<\/script>\n","description":"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 ... Read more"}