Có (y-4).(1+2x)=6⇒y-4,1+2x ∈ Ư(6)={±1,±2,±3,±6}Mặt khác 1+2x là ước lẻ của 6 ⇒ 1+2x ∈ {±1,±3}⇒1+2x=1,y-4=6⇒x=0,y=10⇒1+2x=-1,y-4=-6⇒x=-1,y=-2⇒1+2x=3,y-4=2⇒x=1,y=6⇒1+2x=-3,y-4=-2⇒x=-2,y=2
Giải thích các bước giải:
Có (y-4).(1+2x)=6
⇒y-4,1+2x ∈ Ư(6)={±1,±2,±3,±6}
Mặt khác 1+2x là ước lẻ của 6 ⇒ 1+2x ∈ {±1,±3}
Với 1+2x=1,y-4=6⇒x=0,y=10
Với 1+2x=-1,y-4=-6⇒x=-1,y=-2
Với 1+2x=3,y-4=2⇒x=1,y=6
Với 1+2x=-3,y-4=-2⇒x=-2,y=2
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