Question

x+11 chia hết cho x+1 vậy x =???

Answer 1

x+11 chia hết cho x+1

=>(x+1)+10 chia hết cho x+1

Vì x+1 chia hết cho x+1

=>10 chia hết cho x+1

=>x+1 thuộc(1;2;5;10)

+,Nếu x+1=1=>x=0(TM)

+,Nếu x+1=2=>x=1(TM)

+,Nếu x+1=5=>x=4(TM)

+,Nếu x+1=10=>x=9(TM)

Vậy x={0;1;4;9}

Answer 2

\(\frac{x+11}{x+1}=\frac{x+1+10}{x+1}=\frac{x+1}{x+1}+\frac{10}{x+1}=1+\frac{10}{x+1}\)

Để (x + 11) \(⋮\) (x + 1) thì 10 \(⋮\) (x + 1)

\(\Rightarrow\) x + 1 = 1; x + 1 = -1; x + 1 = 2; x + 1 = -2; x + 1 = 5; x + 1 = -5; x + 1 = 10; x + 1 = -10

*) x + 1 = 1

x = 1 - 1

x = 0

*) x + 1 = -1

x = -1 - 1

x = -2

*) x + 1 = 2

x = 2 - 1

x = 1

*) x + 1 = -2

x = -2 - 1

x = -3

*) x + 1 = 5

x = 5 - 1

x = 4

*) x + 1 = -5

x = -5 - 1

x = -6

*) x + 1 = 10

x = 10 - 1

x = 9

*) x + 1 = -10

x = -10 - 1

x = -11

Vậy x = -11; x = 9; x = -6; x = 4; x = -3; x = 1; x = -2; x = 0 thì (x + 11) \(⋮\) (x + 1)