Question

Tìm số tự nhiên x sao cho : (x + 6)   chia hết(x + 1).

Answer 1

x=0

Answer 2

\(x\in N\Rightarrow x+1\in N\)

\(\left(x+6\right)⋮\left(x+1\right)\Rightarrow\left(x+1+5\right)⋮\left(x+1\right)\)

Mà \(\left(x+1\right)⋮\left(x+1\right)\Rightarrow5⋮\left(x+1\right)\Rightarrow x+1\inƯ\left(5\right)=\left\{1;5\right\}\Rightarrow x\in\left\{0;4\right\}\)

Answer 3

\(\Rightarrow x+1+5⋮x+1\\ \Rightarrow x+1\inƯ\left(5\right)=\left\{1;5\right\}\\ \Rightarrow x\in\left\{0;4\right\}\)