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Консультация № 55942
19.09.2006, 12:25
0.00 руб.
0
3
2
приветствую!
мне попалиcь два интересных номера:
(4x+15-4x*x) / (2x + корень(4x+15) )=>0
Ответ:[-15/4 ; -3/2) v (-3/2; 5/2]
(x*x*x-8+6x(2-x)) / abs(3-4x) <= корень(4x-3)
ответ:(3/4; 7]
эти ответы указаны в ответах в учебнике, но у меня получаются немного другие...
помогите, плз, решить правильно
мне попалиcь два интересных номера:
(4x+15-4x*x) / (2x + корень(4x+15) )=>0
Ответ:[-15/4 ; -3/2) v (-3/2; 5/2]
(x*x*x-8+6x(2-x)) / abs(3-4x) <= корень(4x-3)
ответ:(3/4; 7]
эти ответы указаны в ответах в учебнике, но у меня получаются немного другие...
помогите, плз, решить правильно
Обсуждение
Неизвестный
19.09.2006, 17:38
общий
это ответ
Здравствуйте, Kovenant!
на первую задачу ответ верный. Здесь надо учитывать много условий. Можно рассмотреть отдельно 2 системы: 1) числитель и знаменатель больше или равены нулю 2) числитель и знаменатель меньше нуля. Решением первой системы является второй промежуток, а решением второй - первый.
на первую задачу ответ верный. Здесь надо учитывать много условий. Можно рассмотреть отдельно 2 системы: 1) числитель и знаменатель больше или равены нулю 2) числитель и знаменатель меньше нуля. Решением первой системы является второй промежуток, а решением второй - первый.
Неизвестный
19.09.2006, 18:50
общий
это ответ
Задача №2.
(x*x*x-8+6x(2-x)) / abs(3-4x) <= корень(4x-3)
(x^3 - 2^3)- 6x(2-x) <= корень(4x-3) * abs(4x-3) // x>3/4 !
(x^3-2^3)-6x(2-x)=(x-2)(x^2+2x+4)-(x-2)6x = (x-2)(x^2-4x+4)=(x-2)^3.
(x-2)^3<=sqrt( (4x-3)^3) // x<2 - подойдут.
(x-2)^2<=4x-3
x^2-4x+4-4x+3<=0
x^2-8x+7<=0 // x1=7, x2=1; x=[1,7]
Имеем:
x<2 и x[1,7], но из условия существования корня(4х-3) x>3/4.
Значит х (3/4,7], и с ответом сходится.
Решение такой задачи стоит около 0.50 $ ;)
(x*x*x-8+6x(2-x)) / abs(3-4x) <= корень(4x-3)
(x^3 - 2^3)- 6x(2-x) <= корень(4x-3) * abs(4x-3) // x>3/4 !
(x^3-2^3)-6x(2-x)=(x-2)(x^2+2x+4)-(x-2)6x = (x-2)(x^2-4x+4)=(x-2)^3.
(x-2)^3<=sqrt( (4x-3)^3) // x<2 - подойдут.
(x-2)^2<=4x-3
x^2-4x+4-4x+3<=0
x^2-8x+7<=0 // x1=7, x2=1; x=[1,7]
Имеем:
x<2 и x[1,7], но из условия существования корня(4х-3) x>3/4.
Значит х (3/4,7], и с ответом сходится.
Решение такой задачи стоит около 0.50 $ ;)
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