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Консультация № 197260
28.11.2019, 13:59
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе:
Найти суму корней или корень (если он единственный) уравнения:(в файле прикрепленном)
Найти суму корней или корень (если он единственный) уравнения:(в файле прикрепленном)
Прикрепленные файлы:
Обсуждение
28.11.2019, 14:45
общий
Адресаты:
Если Вы не хотите научиться пользоваться Редактором формул rfpro.ru/help/services#600 , то гораздо удобнее отображать математич формулы в виде маленькой картинки, кот-ю я извлёк из Вашего тяжёлого Word-документа объёмом 191кБ.
Картинку объёмом всего 5кБ прилагаю.
Картинку объёмом всего 5кБ прилагаю.
Прикрепленные файлы:
28.11.2019, 14:51
общий
это ответ
Здравствуйте, zhaizhbekowa!
Во-первых, обращаем внимание, что знаменатель дроби справа 2/(x-10) + 1/(7-x) = - (1/(x-7) - 2/(x-10)), т.е. равен знаменателю дроби слева, только со знаком минус.
Область определения:
x [$8800$] 7, x [$8800$]10, 1/(x - 7) - 2/(x-10) [$8800$] 0. Упростив последнее, получим x [$8800$] 4
Тогда, перенеся правую часть влево, получим сумму двух дробей с одинаковым знаменателем.
Складывая числители, получим равенство всего выражения нулю при x2 - 3x - 4 = 0 (знаменатель [$8800$] 0, это область определения исходного выражения)
Корнями квадратного уравнения будут x = -1 и x = 4.
Но корень x = 4 не проходит по области определения. Остается только один x = -1
Во-первых, обращаем внимание, что знаменатель дроби справа 2/(x-10) + 1/(7-x) = - (1/(x-7) - 2/(x-10)), т.е. равен знаменателю дроби слева, только со знаком минус.
Область определения:
x [$8800$] 7, x [$8800$]10, 1/(x - 7) - 2/(x-10) [$8800$] 0. Упростив последнее, получим x [$8800$] 4
Тогда, перенеся правую часть влево, получим сумму двух дробей с одинаковым знаменателем.
Складывая числители, получим равенство всего выражения нулю при x2 - 3x - 4 = 0 (знаменатель [$8800$] 0, это область определения исходного выражения)
Корнями квадратного уравнения будут x = -1 и x = 4.
Но корень x = 4 не проходит по области определения. Остается только один x = -1
5
Большое спасибо
Об авторе:
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
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