Tìm số tự nhiên n biết
a/ 6n + 12 chia hết 2n
b/ 4n + 7 chia hết ( n - 1 )
c/ ( 4n + 7 ) chia hết ( 3n -1 )
giúp mình vs ạ
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Ta có: n3+n2+1⋮n+1" role="presentation" style="box-sizing: inherit; -webkit-tap-highlight-color: transparent; font-style: normal; font-weight: normal; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-size: 18.08px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">n3+n2+1⋮n+1n3+n2+1⋮n+1
⇔n2(n+1)+1⋮n+1" role="presentation" style="box-sizing: inherit; -webkit-tap-highlight-color: transparent; font-style: normal; font-weight: normal; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-size: 18.08px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">⇔n2(n+1)+1⋮n+1⇔n2(n+1)+1⋮n+1
mà n2⋅(n+1)⋮n+1" role="presentation" style="box-sizing: inherit; -webkit-tap-highlight-color: transparent; font-style: normal; font-weight: normal; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-size: 18.08px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">n2⋅(n+1)⋮n+1n2⋅(n+1)⋮n+1
nên 1⋮n+1" role="presentation" style="box-sizing: inherit; -webkit-tap-highlight-color: transparent; font-style: normal; font-weight: normal; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-size: 18.08px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">1⋮n+11⋮n+1
⇔n+1∈Ư(1)" role="presentation" style="box-sizing: inherit; -webkit-tap-highlight-color: transparent; font-style: normal; font-weight: normal; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-size: 18.08px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">⇔n+1∈Ư(1)⇔n+1∈Ư(1)
⇔n+1∈{1;−1}" role="presentation" style="box-sizing: inherit; -webkit-tap-highlight-color: transparent; font-style: normal; font-weight: normal; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-size: 18.08px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">⇔n+1∈{1;−1}⇔n+1∈{1;−1}
hay n∈{0;−2}" role="presentation" style="box-sizing: inherit; -webkit-tap-highlight-color: transparent; font-style: normal; font-weight: normal; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-size: 18.08px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">n∈{0;−2}n∈{0;−2}
Vậy: Để n3+n2+1⋮n+1" role="presentation" style="box-sizing: inherit; -webkit-tap-highlight-color: transparent; font-style: normal; font-weight: normal; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-size: 18.08px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">n3+n2+1⋮n+1n3+n2+1⋮n+1 thì n∈{0;−2}" role="presentation" style="box-sizing: inherit; -webkit-tap-highlight-color: transparent; font-style: normal; font-weight: normal; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-size: 18.08px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">n∈{0;−2}
CHÚC BẠN HỌC TỐT!
215 = 5 x 43
Ư(215) = { 1; 5; 43; 215}
230 = 2x5x23
Ư(230) ={ 1; 2; 5; 10; 23; 46; 115; 230}
`a)180=2^{2}.3^{2}.5`
`b)2034=2.3^{2}.113`
`c)1500=2^{2}.3.5^{3}`
`d)4000=2^{5}.5^{3}`
`e)504=2^{3}.3^{2}.7`
\(180=2^2.3^2.5\)
\(2034=2.3^2.113\)
\(1500=2^2.3.5^3\)
\(4000=2^5.5^3\)
\(504=2^3.3^2.7\)