Решите уравнение: 2^1000 – 2^999 – 2^998 – ... – 2 + x = 2x

Question

Решите уравнение: 2^1000 – 2^999 – 2^998 – ... – 2 + x = 2x

Answer 1

2^1000 - 2^999 = 2^999(2-1) = 2^999

2^999 - 2^998 = 2^998(2-1) = 2^998

2^998 - 2^997 = 2^997(2-1) = 2^997 и т.д.

. . . . . . . . . . . . . . . . . 

2^3 - 2^2 = 2^2(2-1) = 2^2

2^2 - 2 = 2

2+x = 2x

x=2