5:[["$","div",null,{"className":"crumbs","children":[["$","span",null,{"children":["$","a",null,{"href":"/","children":"Главная"}]}],["$","span",null,{"children":["$","a",null,{"href":"/gdz","children":"ГДЗ"}]}],["$","span",null,{"children":["$","a",null,{"href":"/gdz/algebra/8-klass/makarychev","children":["Алгебра"," ",8," класс ","Макарычев"]}]}],["$","span",null,{"children":["Номер ","1005"]}]]}],["$","h1",null,{"children":["Номер 1005"," — ГДЗ ","алгебра"," ",8," класс ","Макарычев"]}],[["$","section","14700",{"children":[false,["$","div",null,{"className":"sheet-card statement","children":[["$","p",null,{"children":["$","b",null,{"children":["№ 1005","."]}]}],["$","div",null,{"dangerouslySetInnerHTML":{"__html":"

Докажите, что если х > 0 и y > 0, то:

\nа) x/у² + y/x² ≥ 1/x + 1/у;\n
\nб) x²/у + y²/x ≥ x + y\n\n

"}}]]}],["$","div",null,{"className":"notice","children":["Разбор этого задания готовится. Пока можно ",["$","a",null,{"href":"/reshit","children":"решить его по фото"}]," — ИИ объяснит по шагам."]}]]}]],["$","p",null,{"children":[["$","a",null,{"href":"/gdz/algebra/8-klass/makarychev/nomer-1004","children":["← ","Номер 1004"]}]," · ",["$","a",null,{"href":"/gdz/algebra/8-klass/makarychev/nomer-1006","children":["Номер 1006"," →"]}]," · ",["$","a",null,{"href":"/gdz/algebra/8-klass/makarychev","children":"Все номера"}]]}],["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"[{\"@context\":\"https://schema.org\",\"@type\":\"Question\",\"name\":\"Алгебра 8 класс Макарычев, номер 1005\",\"text\":\"Докажите, что если х > 0 и y > 0, то: а) x/у² + y/x² ≥ 1/x + 1/у; б) x²/у + y²/x ≥ x + y\",\"answerCount\":1,\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Ответ: а) После преобразований получаем (x - у)² · (x + у)/(x²y²) ≥ 0, что верно при x > 0, y > 0.\\nб) После преобразований получаем (x - у)² · (x + у) ≥ 0, что верно при x > 0, y > 0.\"}},{\"@context\":\"https://schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Главная\",\"item\":\"https://reshay.ai/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"ГДЗ\",\"item\":\"https://reshay.ai/gdz\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Алгебра 8 класс Макарычев\",\"item\":\"https://reshay.ai/gdz/algebra/8-klass/makarychev\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Номер 1005\"}]}]"}}]]

Номер 1005 — ГДЗ алгебра 8 класс Макарычев