Question

(x+1)tất cả mũ 2 rồi cộng 7 chia hết cho x+1

Answer 1

\(\left(x+1\right)^2+7=\left(x+1\right).\left(x+1\right)+7\)

mà \(x+1⋮x+1\Rightarrow\left(x+1\right).\left(x+1\right)⋮x+1\)

\(\Rightarrow7⋮x+1\)

\(\Rightarrow x+1\inƯ\left(7\right)\)

\(\Rightarrow x+1\in\hept{ }1;-1;7;-7\)

TH1: \(x+1=1\Rightarrow x=1-1=0\)

TH2: \(x+1=-1\Rightarrow x=-1-1=-2\)

TH3: \(x+1=7\Rightarrow x=7-1=6\)

TH4: \(x+1=-7\Rightarrow x=-7-1=-8\)

Vậy x = .....

Nhớ k cho mình nhé! Thank you!!!