Question

sa se rezolve {2x} = x + 1 ​

Answer 1

{2x} = 2x - [2x]

2x - [2x] = x + 1

-[2x] = - x + 1

[2x] = x - 1

x - 1 = k , x = k + 1

k <= 2k + 2 < k + 1

k<= 2k + 2

-k <= 2 , k >= -2 , k€[-2, + infinit)

2k+2 < k + 1

k < -1

k € (- infinit , -1)

k € (-1 , -2]

k = -2

x = -1