Odpověď z MediaWiki API
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{
"compare": {
"fromid": 1,
"fromrevid": 1,
"fromns": 0,
"fromtitle": "Hlavn\u00ed strana",
"toid": 2,
"torevid": 2,
"tons": 0,
"totitle": "Matematika/Z\u00e1kladn\u00ed \u0161kola/9. t\u0159\u00edda",
"*": "<tr><td colspan=\"2\" class=\"diff-lineno\" id=\"mw-diff-left-l1\">\u0158\u00e1dek 1:</td>\n<td colspan=\"2\" class=\"diff-lineno\">\u0158\u00e1dek 1:</td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><<del class=\"diffchange diffchange-inline\">strong</del>><del class=\"diffchange diffchange-inline\">MediaWiki byla \u00fasp\u011b\u0161n\u011b nainstalov\u00e1na.</del></<del class=\"diffchange diffchange-inline\">strong</del>></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">== Kvadratick\u00e9 rovnice ==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Za kvadratickou rovnici s prom\u011bnnou ''x'' pova\u017eujeme takovou rovnici, ve kter\u00e9 se vyskytuje prom\u011bnn\u00e1 ''x'' v druh\u00e9 mocnin\u011b (x</ins><<ins class=\"diffchange diffchange-inline\">sup</ins>><ins class=\"diffchange diffchange-inline\">2</ins></<ins class=\"diffchange diffchange-inline\">sup</ins>><ins class=\"diffchange diffchange-inline\">, tzv. kvadratick\u00fd \u010dlen), vedle toho se m\u016f\u017ee, ale nemus\u00ed vyskytovat i ''x'' v prvn\u00ed mocnin\u011b (x, tzv. line\u00e1rn\u00ed \u010dlen) a tzv. absolutn\u00ed \u010dlen.</ins></div></td></tr>\n<tr><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-deleted\"><br></td><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-added\"><br></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">[https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Contents U\u017eivatelsk\u00e1 p\u0159\u00edru\u010dka] v\u00e1m napov\u00ed, jak pou\u017e\u00edvat MediaWiki.</del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00dapravami zn\u00e1m\u00fdmi z line\u00e1rn\u00edch rovnic m\u016f\u017eeme ka\u017edou kvadratickou rovnici p\u0159ev\u00e9st na tvar</ins></div></td></tr>\n<tr><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-deleted\"><br></td><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-added\"><br></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div>=<del class=\"diffchange diffchange-inline\">= Za\u010d\u00edn\u00e1me ==</del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><math>ax^2 + bx + c </ins>= <ins class=\"diffchange diffchange-inline\">0</math>,</ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">* [https</del>://<del class=\"diffchange diffchange-inline\">www.mediawiki.org/wiki/Special:MyLanguage</del>/<del class=\"diffchange diffchange-inline\">Manual:Configuration_settings Nastaven\u00ed konfigurace]</del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">* [https:/</del>/<del class=\"diffchange diffchange-inline\">www</del>.<del class=\"diffchange diffchange-inline\">mediawiki.org</del>/<del class=\"diffchange diffchange-inline\">wiki</del>/<del class=\"diffchange diffchange-inline\">Special:MyLanguage</del>/<del class=\"diffchange diffchange-inline\">Manual:FAQ \u010casto kladen\u00e9 ot\u00e1zky o MediaWiki]</del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">kde koeficient ''a'' je nenulov\u00fd (jinak by to byla line\u00e1rn\u00ed, nikoli kvadratick\u00e1 rovnice), ''b'' a ''c'' mohou b\u00fdt i nulov\u00e9 (pak lze rovnici \u0159e\u0161it jednodu\u0161eji).</ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">* [https:</del>//<del class=\"diffchange diffchange-inline\">lists.wikimedia.org</del>/<del class=\"diffchange diffchange-inline\">postorius/lists</del>/<del class=\"diffchange diffchange-inline\">mediawiki-announce</del>.<del class=\"diffchange diffchange-inline\">lists.wikimedia.org/ E</del>-<del class=\"diffchange diffchange-inline\">mailov\u00e1 konference ozn\u00e1men\u00ed MediaWiki]</del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">* [https:</del>//<del class=\"diffchange diffchange-inline\">www</del>.<del class=\"diffchange diffchange-inline\">mediawiki.org/wiki/Special</del>:<del class=\"diffchange diffchange-inline\">MyLanguage/Localisation#Translation_resources P\u0159eklad MediaWiki do va\u0161eho jazyka</del>]</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Takto upravenou rovnici m\u016f\u017eeme \u0159e\u0161it t\u0159emi zp\u016fsoby</ins>:</div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">* </del>[<del class=\"diffchange diffchange-inline\">https</del>:<del class=\"diffchange diffchange-inline\">//www.mediawiki.org/wiki/Special:MyLanguage/Manual:Combating_spam Nau\u010dte se bojovat se spamem na va\u0161\u00ed wiki</del>]</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># pomoc\u00ed vzorce <math>x_{1,2} = \\frac{-b \\pm \\sqrt{b^2 - 4ac}}{2a}<</ins>/<ins class=\"diffchange diffchange-inline\">math> (v\u00fdraz <math>\\sqrt{b^2 - 4ac}<</ins>/<ins class=\"diffchange diffchange-inline\">math> se naz\u00fdv\u00e1 diskriminant), kter\u00fd v\u00e1m ve \u0161kole v\u011bt\u0161inou p\u0159edlo\u017eili jako fakt k zapamatov\u00e1n\u00ed,</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># postupnou \u00fapravou na rozd\u00edl \u010dtverc\u016f, kdy rovnici p\u0159evedete na tvar <math>(x+y)^2 - z^2 = 0<</ins>/<ins class=\"diffchange diffchange-inline\">math> (v n\u011bkter\u00fdch p\u0159\u00edpadech, typicky pro ''a'' rovno jedn\u00e9 a ''b'' sud\u00e9, m\u016f\u017ee b\u00fdt toto \u0159e\u0161en\u00ed rychlej\u0161\u00ed ne\u017e pomoc\u00ed vzorce s diskriminantem),</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># p\u0159eveden\u00edm na sou\u010din tvaru <math>(x-u) \\cdot (x-v)<</ins>/<ins class=\"diffchange diffchange-inline\">math>, kde pro hodnoty ''u'' a ''v'' plat\u00ed tzv</ins>. <ins class=\"diffchange diffchange-inline\">Vietovy vztahy <math>u \\cdot v = \\frac{c}{a}<</ins>/<ins class=\"diffchange diffchange-inline\">math>, <math>u + v = -\\frac{b}{a}<</ins>/<ins class=\"diffchange diffchange-inline\">math> (d\u00e1 se s v\u00fdhodou u\u017e\u00edt pro mal\u00e9 celo\u010d\u00edseln\u00e9 hodnoty koeficient\u016f ''b'' a ''c'', ob\u011b d\u011bliteln\u00e9 ''a'').</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">=== \u00dalohy k procvi\u010den\u00ed ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0158e\u0161te rovnici <math>x^3 + 2x^2 + x = 3x(x+1)<</ins>/<ins class=\"diffchange diffchange-inline\">math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">{{Skryt\u00e9 \u0159e\u0161en\u00ed|\u0159e\u0161en\u00ed=</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\begin{array}{rcl}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">x^3 + 2x^2 + x & = & 3x^2 + 3x \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">x^3 - x^2 - 2x & = & 0 \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">x(x^2 - x - 2) & = & 0</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{array}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><</ins>/<ins class=\"diffchange diffchange-inline\">math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">M\u00e1me prvn\u00ed ko\u0159en <math>x_1 = 0<</ins>/<ins class=\"diffchange diffchange-inline\">math>, d\u00e1le \u0159e\u0161\u00edme b\u011b\u017enou kvadratickou rovnici <math>x^2 - x - 2 = 0<</ins>/<ins class=\"diffchange diffchange-inline\">math> pomoc\u00ed vzore\u010dku nebo rozlo\u017een\u00edm na <math>(x + 1)(x - 2) = 0<</ins>/<ins class=\"diffchange diffchange-inline\">math></ins>. <ins class=\"diffchange diffchange-inline\">Jej\u00edm vy\u0159e\u0161en\u00edm dost\u00e1v\u00e1me dal\u0161\u00ed dva ko\u0159eny <math>x_2 = </ins>-<ins class=\"diffchange diffchange-inline\">1<</ins>/<ins class=\"diffchange diffchange-inline\">math>, <math>x_3 = 2<</ins>/<ins class=\"diffchange diffchange-inline\">math></ins>.</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">}}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[[Kategorie</ins>:<ins class=\"diffchange diffchange-inline\">Z\u00e1kladn\u00ed \u0161kola]</ins>]</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>[<ins class=\"diffchange diffchange-inline\">[Kategorie</ins>:<ins class=\"diffchange diffchange-inline\">Matematick\u00e9 \u00falohy]</ins>]</div></td></tr>\n"
}
}