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Автор - Piggies

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Решить систему уравнений:

Ответ

Проверено экспертом

Автор - petyaGavrikov

64^(x+y) Кб = 32 Мб

32^(x+2) Гб = 8^y байт

64^(x+y) Кб = (2^6)^(x+y) = 2^(6*(x+y)) Кб

32 Мб = 32*1024 Кб = 2^15 Кб

2^(6*(x+y)) Кб = 2^15 Кб

6*(x+y) = 15

2*(x+y) = 5

x = (5-2*y)/2

32^(x+2) Гб = 32^(x+2)*1024 Мб = 32^(x+2)*1024*1024 Кб =

= 32^(x+2)*1024*1024*1024 байт = (2^5)^(x+2)*2^30 =

= 2^(5*(x+2))*2^30 = 2^(5*x+40) байт

8^y байт = (2^3)^y байт = 2^(3*y) байт

2^(5*x+40) байт = 2^(3*y) байт

5*x+40 = 3*y

y = (5*x+40)/3 = (5*(5-2*y)/2+40)/3 = ((25-10*y)/2+40)/3 = (52,5-5*y)/3

3*y = 52,5-5*y

y = 52,5/8 = 6,5625

x = (5-2*y)/2 = (5-2*6,5625)/2 = -4,0625

Ответ:

x = -4,0625; y = 6,5625  

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