Question

calculati x+1/x+5 criteri de divizibilitate

Answer 1

x+1/x+5 => x ∈ R \ {-5}

x+5 | x+5

x+5 | x+1

x+5 | (x+1) - (x+5)

x+5 | -4

x+5 | D4

D4 = ±1 ; ±2 ; ±4

x₁+5 = -1 => x₁ = -6

x₂+5 = 1 => x₂ = -4

x₃+5 = -2 => x₃ = -7

x₄+5 = 2 => x₄ = -3

x₅+5 = -4 => x₅ = -9

x₆+5 = 4 => x₆ = -1

=> x ∈ {-9;-7;-6;-4;-3;-1}