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Консультация № 190632
04.03.2017, 00:08
0.00 руб.
1
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Здравствуйте! У меня возникли сложности с таким вопросом:
Прикрепленные файлы:
Обсуждение
04.03.2017, 05:20
общий
это ответ
Здравствуйте, svrvsvrv!
Перепишем уравнение в виде x[sup]2[/sup] + 7x + 10 = [$177$](3x+11) (при x>-11/3 берётся знак "+", при x<-11/3 - знак "-"). Оно эквивалентно двум квадратным уранениям: x[sup]2[/sup] + 4x - 1 = 0 при x>-11/3 и x[sup]2[/sup] + 10x + 21 = 0 при x<-11/3. Корни квадратного уравнения ax[sup]2[/sup] + bx + c = 0 определяются по формуле
Для первого уравнения a = 1, b = 4, c = -1 и
Условию x>-11/3 удовлетворяет только корень -2 + [$8730$]5. Для второго уравнения a = 1, b = 10, c = 21 и
то есть x[sub]3[/sub] = -3, x[sub]4[/sub] = -7. Условию x<-11/3 удовлетворяет только второй из этих корней. Следовательно, имеем два решения: x[sub]1[/sub] = -2 + [$8730$]5 и x[sub]2[/sub] = -7.
Перепишем уравнение в виде x[sup]2[/sup] + 7x + 10 = [$177$](3x+11) (при x>-11/3 берётся знак "+", при x<-11/3 - знак "-"). Оно эквивалентно двум квадратным уранениям: x[sup]2[/sup] + 4x - 1 = 0 при x>-11/3 и x[sup]2[/sup] + 10x + 21 = 0 при x<-11/3. Корни квадратного уравнения ax[sup]2[/sup] + bx + c = 0 определяются по формуле
Для первого уравнения a = 1, b = 4, c = -1 и
Условию x>-11/3 удовлетворяет только корень -2 + [$8730$]5. Для второго уравнения a = 1, b = 10, c = 21 и
то есть x[sub]3[/sub] = -3, x[sub]4[/sub] = -7. Условию x<-11/3 удовлетворяет только второй из этих корней. Следовательно, имеем два решения: x[sub]1[/sub] = -2 + [$8730$]5 и x[sub]2[/sub] = -7.
5
Спасибо. Вы очень хорошо консультируете.
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