Question

90⋮x; 126⋮x và x >9

 

Answer 1

\(x\in\left\{18\right\}\)

Answer 2

x=18

Answer 3

90⋮x; 126⋮x

⇒x∈ƯC(90;126)

90=2.5.3²

126=2.3².7

ƯCLN(90;126)=2.3²=18

ƯC(90;126)={0;2;6;9;18}

mà x>9 nên x=18

Answer 4

x = 18

Answer 5

\(126=2\cdot^{3^2}\cdot7\)

\(90=2\cdot3^2\cdot5\)

=>ƯCLN(126;90)=\(2\cdot3^2\)

                           =18

=>ƯC(126;90)=Ư(18)=(1;2;3;6;9;18)

=>x∈(1;2;3;6;9)

Answer 6

Giải:

Ta có: 

\(\left\{{}\begin{matrix}90⋮x\\126⋮x\end{matrix}\right.\Rightarrow x\inƯC\left(90;126\right)\) 

\(90=2.3^2.5\) 

\(126=2.3^2.7\)  

\(\RightarrowƯCLN\left(90;126\right)=2.3^2=18\) 

\(\RightarrowƯC\left(90;126\right)=Ư\left(18\right)=\left\{1;2;3;6;9;18\right\}\) 

Mà \(x>9\) 

\(\Rightarrow x=18\) 

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