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Консультация № 190631
04.03.2017, 00:07
0.00 руб.
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Здравствуйте! У меня возникли сложности с таким вопросом:
Прикрепленные файлы:
Обсуждение
04.03.2017, 05:08
общий
это ответ
Здравствуйте, svrvsvrv!
Перепишем уравнение в виде [$177$](x+5) = x[sup]2[/sup] - 6x + 1 (при x>-5 берётся знак "+", при x<-5 - знак "-"). Оно эквивалентно двум квадратным уранениям: x[sup]2[/sup] - 7x - 4 = 0 при x>-5 и x[sup]2[/sup] - 5x + 6 = 0 при x<-5. Корни квадратного уравнения ax[sup]2[/sup] + bx + c = 0 определяются по формуле
Для первого уравнения a = 1, b = -7, c = -4 и
Оба корня удовлетворяют условию x>-5. Для второго уравнения a = 1, b = -5, c = 6 и
то есть x[sub]3[/sub] = 3, x[sub]4[/sub] = 2. Эти корни не удовлетворяют условию x<-5. Следовательно, имеем два решения: x[sub]1[/sub] = 3.5 + [$8730$]16.25 и x[sub]2[/sub] = 3.5 - [$8730$]16.25.
Перепишем уравнение в виде [$177$](x+5) = x[sup]2[/sup] - 6x + 1 (при x>-5 берётся знак "+", при x<-5 - знак "-"). Оно эквивалентно двум квадратным уранениям: x[sup]2[/sup] - 7x - 4 = 0 при x>-5 и x[sup]2[/sup] - 5x + 6 = 0 при x<-5. Корни квадратного уравнения ax[sup]2[/sup] + bx + c = 0 определяются по формуле
Для первого уравнения a = 1, b = -7, c = -4 и
Оба корня удовлетворяют условию x>-5. Для второго уравнения a = 1, b = -5, c = 6 и
то есть x[sub]3[/sub] = 3, x[sub]4[/sub] = 2. Эти корни не удовлетворяют условию x<-5. Следовательно, имеем два решения: x[sub]1[/sub] = 3.5 + [$8730$]16.25 и x[sub]2[/sub] = 3.5 - [$8730$]16.25.
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