Tìm các số nguyên x,y biết: 2x +1/7=1/y

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2 năm trước

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TienPk

Ta có : 2x + $\frac{1}{7}$ = $\frac{1}{y}$

=>$\frac{14x}{7}$ + $\frac{1}{7}$ = $\frac{1}{y}$

=> $\frac{14x+1}{y}$ = $\frac{1}{y}$

=> y(14x+1) = 7

=> 14x+1; y ∈ Ư(7)

Có : 7 = 7.1 = 1.7 = -1.(-7) = -7.(-1)

=> y(14x+1) = 1.7 = (-1).(-7)

Ta có bảng sau :

14x+1 l 1 l -1 l 7 l -7

x l 0 l -1/7 l 3/7 l -1/7

y l 7 l -7 l 1 l -1

Vậy x = 0 ; y = 7

Xin hay nhất ạ :)

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hakango

Ta có : 2x + 1/7 = 1/y

⇔ 14x/7 + 1/7 = 1/y

⇔ ( 14x+1 ).y = 1.7 = 7.1 = -7.(-1) = (-1) . (-7)

Ta có bảng sau :

14x+1 1 -1 7 -7

x 0 -1/7 3/7 -1/7

y 7 -7 1 -1

Vậy x = 0 và y = 7

Vote (0) Phản hồi (0) 2 năm trước

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