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При каких значениях а сумма чисел а и 1/а в 31/4 раза меньше суммы их кубов?

"}}]]}],["$","div",null,{"className":"notice","children":["Разбор этого задания готовится. Пока можно ",["$","a",null,{"href":"/reshit","children":"решить его по фото"}]," — ИИ объяснит по шагам."]}]]}]],["$","p",null,{"children":[["$","a",null,{"href":"/gdz/algebra/9-klass/makarychev/nomer-336","children":["← ","Номер 336"]}]," · ",["$","a",null,{"href":"/gdz/algebra/9-klass/makarychev/nomer-338","children":["Номер 338"," →"]}]," · ",["$","a",null,{"href":"/gdz/algebra/9-klass/makarychev","children":"Все номера"}]]}],["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"[{\"@context\":\"https://schema.org\",\"@type\":\"Question\",\"name\":\"Алгебра 9 класс Макарычев, номер 337\",\"text\":\"При каких значениях а сумма чисел а и 1/а в 31/4 раза меньше суммы их кубов?\",\"answerCount\":1,\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Ответ: а = (√43 + 3√3)/4 или а = (√43 - 3√3)/4 или а = (-√43 + 3√3)/4 или а = (-√43 - 3√3)/4\"}},{\"@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 9 класс Макарычев\",\"item\":\"https://reshay.ai/gdz/algebra/9-klass/makarychev\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Номер 337\"}]}]"}}]]

Номер 337 — ГДЗ алгебра 9 класс Макарычев