cho n thuộc N .CMR.6n+5 và 4n+3 là hai số nguyên tố cùng nhau
Gọi \(d=ƯCLN\left(6n+5;4n+3\right)\)
\(\Leftrightarrow\left\{{}\begin{matrix}6n+5⋮d\\4n+3⋮d\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}12n+10⋮d\\12n+9⋮d\end{matrix}\right.\)
\(\Leftrightarrow1⋮d\)
\(\LeftrightarrowƯCLN\left(6n+5;4n+3\right)=1\)
\(\Leftrightarrowđpcm\)
Mong các bạn giúp mik sớm :
+ a, 121 - 2 . ( x + 6 ) = | -11 | . 2017 \(^0\)
b, 2 . | x - 1 | - (- 3 ) = 3\(^{2017}\) : 3\(^{2016}\)
c, 5 + 2 . x = 17
d, x\(^3\) - 2 = 6
+ ) Trên tia Ox vẽ 3 điểm A, B và C sao cho OA = 4 cm ; OC = 8 cm.
a, Tính AB và BC
b, Điểm B có là trung điểm của đoạn thẳng AC không ? Vì sao ?
c, Lấy điểm M không thuộc Ox sao cho OM = 3 cm
+ ) Chứng minh abcabc ( có gạch ngang trên đầu ) chia hết cho 7, 11 và 13.
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Tập hợp C = { 8 ; 10 ; 12 ; ... ; 30 } có ( 30 - 8 ) : 2 + 1 = 12 phần tử
Tổng quát :
- Tập hợp các số chẵn từ số chẵn a đến số chẵn b có ( b - a ) : 2 + 1 phần tử
- Tập hợp các số lẻ từ số lẻ m đến số lẻ n có ( n - m ) : 2 + 1 phần tử
Hãy tính số phần tử của các tập hợp sau
D = { 21 ; 23 ; 25 ; ... ; 99 }
E = { 32 ; 34 ; 36 ; ... ; 96 }
cho số tự nhiên ab bằng 3 lần tích các chữ số của nó. Giả sử b = ak. Chứng minh rằng k là ước của 10
Tìm x :
a) 19 - (x - 1) \(^3\) =18
b) ( x - 5 ) \(^2\) + 17 = 17
c) 3\(^{x+2}\) - 8.3\(^x\)+ 5 = 86
Help me!
Hà Nội , Huế , Nha Trang Thành phố Hồ Chí Minh nằm trên quốc lộ 1 theo thứ tự như trên . Cho biết biết các quãng đường trên quốc lộ ấy :
Hà Nội - Huế : 658 km
Hà Nội - Nha Trang : 1278 km
Hà Nội ' Thành phố Hồ Chí Minh : 1710 km
Tính các quãng đường từ : Huế - Nha Trang , Nha Trang - Thành phố Hồ Chí Minh
Một số sách nếu xếp thành từng bó 12 quyển, 15 quyển, 18 quyển đều vừa đủ bó. Tính số sách đó biết rằng số sách đó trong khoảng từ 300 đến 400.
Giúp mk với
số nguyên x bé nhất thỏa mãn (2x + 3) chia hết cho (x-1)
Một buổi chiều mùa hè có 2 cha con du khách dạo chơi trên bãi biển.Trong cuộc dạo chơi đó có 997 lần bước chân của 2 cha con nghang hàng nhau.Hỏi quãng đường 2 cha con dạo chơi dài bao nhiêu km ?.Biết rằng trung bình mỗi bước chân của người con là 4 dm,còn trung bình mỗi bước chân của người cha là 5dm
Giúp mk nha
Mk tick cho nha
Đừng chép mạng nha
Tìm số tư nhiên có 3 chữ số biết rănhf đem số đó chia 20 , 25 , 30 đều được cùng 1 số dư là 15
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