Toán Lớp 6: M={x∈Z| 50 ⋮ x ;40 ⋮ x ;−60 ⋮ x}
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Toán Lớp 6: M={x∈Z| 50 ⋮ x ;40 ⋮ x ;−60 ⋮ x}
Comments ( 2 )
Giải đáp: $M = \left\{ { – 10; – 5; – 2; – 1;1;2;5;10} \right\}$
Lời giải và giải thích chi tiết:
$\begin{array}{l}
50 \vdots x;40 \vdots x; – 60 \vdots x\\
\Leftrightarrow x \in UC\left( {50;40; – 60} \right)\\
+ 50 = {2.5^2}\\
+ 40 = {2^3}.5\\
+ 60 = {2^2}.3.5\\
\Leftrightarrow ƯCLN\left( {50;40; – 60} \right) = 2.5 = 10\\
\Leftrightarrow x \in \left\{ { – 10; – 5; – 2; – 1;1;2;5;10} \right\}\\
Vậy\,M = \left\{ { – 10; – 5; – 2; – 1;1;2;5;10} \right\}
\end{array}$
Vì 50 \vdots x ; 40 \vdots x ; -60 \vdots x
=> x ∈ ƯC(50 ; 40 ; -60)
Ta có :
50 = 2 . 5^2
40 = 2^3 . 5
60 = 2^2 . 3 . 5
=> ƯCLN(50 ; 40 ; -60) = 2 . 5 = 10
=> ƯC(50 ; 40 ; -60) = Ư(10) = {±1 ; ±2 ; ±5 ; ±10}
=> M = {±1 ; ±2 ; ±5 ; ±10}
Vậy M = {±1 ; ±2 ; ±5 ; ±10}
#dtkc