Question

F= {x apartine lui Z | 1-4x/2x-3 apartine lui Z }
Aratati ca F= {-1; 1; 2; 4 }

Answer 1

(!-4x)/ (2x-3)  ∈ Z ⇔ (2x-3) | (1-4x)
(2x- 3) | (2x-3)        (2x-3) | (4x-6)    (1)
(2x-3) | (1 - 4x)    (2)  ⇒    (2x-3) | [(1) + (2)] = - 5
(2x-3) ∈ D(-5)
2x - 3 = -5    x = -1
2x-3 = -1    x = 1
2x-3 = 1    x =2
2x - 3 = 5  x = 4 ⇒  F= {-1,1,2,4}