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x+ 2/x+11 criterii de divizibilitate

Răspuns :

x+2/x+11 => x ∈ R \ {-11}

x+11 | x+11

x+11 | x+2

x+11 | (x+2)-(x+11)

x+11 | -9

x+11 | D9

D9 = ±1 ; ±3 ; ±9

x₁+11 = -1 => x₁ = -12

x₂+11 = 1 => x₂ = -10

x₃+11 = -3 => x₃ = -14

x₄+11 = 3 => x₄ = -8

x₅+11 = -9 => x₅ = -20

x₆+11 = 9 => x₆ = -2

=> x ∈ {-20 ; -14 ; -12 ; -10 ; -8 ; -2}