Question

Cho B = x + 2

              x - 1

Tìm x thuộc Z để B thuộc Z

Help Me!!!!!!

Answer 1

\(x\in\left\{4;-2;2;0\right\}\)

Nhác Giải nha

Answer 2

Bạn giải giúp mình luôn đi !!!! Thanks

Answer 3

x+2/x-1=x-1+2/x-1

Vì x-1 chia hết x-1

=>2 chia hết x-1

=>x-1 thuộc (1,-1,2,-2)

=>x thuôc (2,0,3,-1)

Answer 4

\(B=\frac{x-1+3}{x-1}\)

\(Để:B\in Z\Leftrightarrow\left(x+2\right)⋮\left(x-1\right)\Leftrightarrow\left(x-1\right)+3⋮\left(x-1\right)\)

\(\Leftrightarrow3⋮\left(x-1\right)\Leftrightarrow\left(x-1\right)\inƯ\left(3\right)\Leftrightarrow\left(x-1\right)\in\left(1;-1;3;-3\right)\)

\(\Rightarrow x\in\left\{4;-2;2;0\right\}\)

Answer 5

\(B=\frac{x+2}{x-1}=\frac{x+2-3}{x-1}=1-\frac{3}{x-1}\)

\(\Rightarrow x-1\inƯ\left(3\right)\)

\(Ư\left(3\right)=\left\{\pm1;\pm3\right\}\)

Ta có: x - 3 = -1 => x = 2

           x - 3 = 1 => x = 4

           x - 3 = -3 => x = 0

           x - 3 = 3 => x = 6 

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