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Консультация № 191450
10.10.2017, 15:59
0.00 руб.
0
6
1
Кажется я тут буду появляться всё чаще и чаще... Опять математика и опять уравнения 
3^x-2*6^x>0
1/2*〖(1/2)〗^(2*x-1)-(〖1/2)〗^(x-1)>0
Позже скину ещё одно, я там криво написал циферку...
3^x-2*6^x>0
1/2*〖(1/2)〗^(2*x-1)-(〖1/2)〗^(x-1)>0
Позже скину ещё одно, я там криво написал циферку...
Обсуждение
10.10.2017, 16:14
общий
это ответ
Здравствуйте, Доктор что!
1) 3x - 2*6x > 0
3x - 2*6x = 3x - 2*3x*2x = 3x(1 - 2*2x) = 3x(1 - 2x+1)
Т.к. 3x > 0, [$8704$]x, то выражение 3x(1 - 2x+1) будет > 0, когда 1 - 2x+1 > 0
Т.е., 2x+1 < 1 = 20. Откуда x+1 < 0 (т.к. 2 > 1) или x < -1
2) 1/2*(1/2)2x-1 - (1/2)x-1 > 0
1/2*(1/2)2x-1 - (1/2)x-1 = (1/2)2x - (1/2)x-1 > 0
Т.к. 1/2 < 1, то получаем 2x < x-1.
Откуда x < -1
3) 3x^2 [$8804$] 81
3x^2 [$8804$] 3 4
Т.к. 3 > 1, то x2 [$8804$] 4 = 22
Откуда |x| [$8804$] 2
1) 3x - 2*6x > 0
3x - 2*6x = 3x - 2*3x*2x = 3x(1 - 2*2x) = 3x(1 - 2x+1)
Т.к. 3x > 0, [$8704$]x, то выражение 3x(1 - 2x+1) будет > 0, когда 1 - 2x+1 > 0
Т.е., 2x+1 < 1 = 20. Откуда x+1 < 0 (т.к. 2 > 1) или x < -1
2) 1/2*(1/2)2x-1 - (1/2)x-1 > 0
1/2*(1/2)2x-1 - (1/2)x-1 = (1/2)2x - (1/2)x-1 > 0
Т.к. 1/2 < 1, то получаем 2x < x-1.
Откуда x < -1
3) 3x^2 [$8804$] 81
3x^2 [$8804$] 3 4
Т.к. 3 > 1, то x2 [$8804$] 4 = 22
Откуда |x| [$8804$] 2
5
Решение всех трех уравнений, спасибо^^ Вам плюсик к карме, а я ещё ни раз вернусь сюда с этой математикой, так как у меня с ней проблемы большие...
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
10.10.2017, 16:16
общий
Адресаты:
Что за скобки вокруг 1/2 во втором примере?
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
10.10.2017, 16:17
общий
10.10.2017, 16:18
Адресаты:
1/2*(1/2)2*x-1 - (1/2)x-1 > 0
Так?
Так?
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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