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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 9: tìm` x ∈Z` khi `(x+1)/(x^2+2) ∈Z`

Toán Lớp 9: tìm x ∈Z
khi (x+1)/(x^2+2) ∈Z

Comments ( 1 )

  1. ta có :
    (x+1)/(x^2+2)∈Z
    ⇔((x+1).(x-1))/(x^2+2)∈Z
    ⇔(x^2-1)/(x^2+2)∈Z
    ⇔(x^2-1)/(x^2+2)∈Z
    ⇔1-3/(x^2+2)∈Z
    ⇔3/(x^2+2)∈Z
    ⇔x^2+2∈Ư(3)
    mà x^2+2≥2
    ⇔x^2+2=3
    ⇔x^2=1
    ⇔x=±1

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222-9+11+12:2*14+14 = ? ( )