Cho n la STN , tim SNT P co 2cs sao cho: P= UCLN[2n-3; 3n+15]
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1.tim STN n sao cho 2n+3 chia het cho 2n-1
2.tim STN a va b biet a.b=48 va UCLN(a, b)=2
Tim stn n có 2 chu so sao cho 2n la binh phuong cua 1 stn,3n la lap phuong cua mot stn
Tim stn n de n+1 va n-3 la 2 snt cung nhau
\(Giai\)
\(Goi:d=\left(n+1,n-3\right).\)
\(taco:\hept{\begin{cases}n+1⋮d\\n-3⋮d\end{cases}}\Rightarrow\left(n+1\right)-\left(n-3\right)⋮d\Leftrightarrow4⋮d\Rightarrow d\in\left\{1;2;4\right\}\)
\(\left(n+1,n-3\right)=1\Leftrightarrow d=1\Leftrightarrow\orbr{\begin{cases}n+1=2k+1\left(k\inℕ\right)\\n-3=2k+1\left(k\inℕ\right)\end{cases}\Leftrightarrow\orbr{\begin{cases}n=2k\\n=2k+4\end{cases}}}\left(n,chẵn\right)\)
\(Vậy:với,n,chẵn,thì,:\left(n+1,n-3\right)=1\)
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Tim stn n sao cho 2n+3 va 4n+1 la 2 so nguyen to cung nhau
Tim STN x:
a, 3x+2010 la SNT
b,1!+2!+3!+...+x! la SNT
tim n la stn de p=(x-1)(x^2-x+1) la snt
tim stn n de B=n mu3 -2n mu 2+3/n-2 co gia tri la so tu nhien
bai 1:tim n thuoc n de:3(n+2) chia het cho n-2bai 2chng minh rang cac so sau la cac so nguyen to cung nhaua) 18n+3 va 21n+4b)2n+1va3n+1bai 3:tim hai so biet tong hai so la 90 va uoc chung lon nhat la 15bai 4:tim so tu nhien n lon nhat co 3 chu so sao cho n :15 du 9va n:35 du 29bai 5:tim uoc chung lon nhat cua cac so sau:a)18n+3 va 21n+4b)9n+13 va 3n+4bai 6:chung minh: voi moi a,b thuoc nta coUCLN(a,b)UCLN (5a+2b,7a+3b)AI DUNG TRUOC 9H MINH SE TICH CHO.THANHK YOU VERY MUCH!
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bai 1:tim n thuoc n de:3(n+2) chia het cho n-2
bai 2chng minh rang cac so sau la cac so nguyen to cung nhau
a) 18n+3 va 21n+4
b)2n+1va3n+1
bai 3:tim hai so biet tong hai so la 90 va uoc chung lon nhat la 15
bai 4:tim so tu nhien n lon nhat co 3 chu so sao cho n :15 du 9va n:35 du 29
bai 5:tim uoc chung lon nhat cua cac so sau:
a)18n+3 va 21n+4
b)9n+13 va 3n+4
bai 6:chung minh: voi moi a,b thuoc nta co
UCLN(a,b)=UCLN (5a+2b,7a+3b)
AI DUNG TRUOC 9H MINH SE TICH CHO.THANHK YOU VERY MUCH!
Bai1:cmr 2 stn dang 2n+3 va 3n+2 bao gio cung la 2 so nguyen to cung nhau.
Bai 2:tim 2 chu so a ; b biet (a+b)(a-b)=20.
Bai 3: tim 2 stn lien tiep co 2 chu so sao cho 1 so chia het cho 25, so kia chia het cho 4.
Bai 4: tim a;b biet a.b=360 va BCNN(a,b)=60