cho 51 so nguyen duong khong qua 100. chung minh rang ton tai hai so trong 51 so ay co tong bang 101
bai 1 tim cac stn x y z sao cho x+y+z=xyz
bai 2cmr neu m^2+mn+n^2chia het cho 9 voi m ,n la cac stn thi m,n chia het cho 3
bai 3 tim stn n nho nhat de cac phan so sau toi gian
7/n+9.8/n+10,...,31/n+33
bai 4chung to rang phan so m^3+2m/m^4+3m^2 +1 toi gian
bai 5 a,cmr khong ton tai so chinh phuong nao co dang abab
b,cho 51 so nguyen duong khong vuot qua 100 cmr ton tai 2 so trong 51 so noi tren ma 1 so chia het cho so con lai
c,tim cac so co 3 chu so sao cho hieu cua so ay va gom 3 chu so ay viet theo thu tu nguoc lai la mot so chinh phuong
bai 6cmr A=2x(x+y-1)+y^2+1 luon nhan gia tri khong am voi moi x,y
bai 7 tim hai so nguyen duong sao cho tong ,hieu thuong (so lon chia cho so nho )cua chung cong lai duoc 38
bai 8 cho ba so a,b,c thoa man a/2009=b/2010=c/2011
tinh gia tri cua bieu thuc M=4(a-b)(b-c)-(c-a)^2
cho 15 so tu nhien khac nhau va khac 0,trong do moi so khong lon hon 28.Chung to rang trong 15 so da cho bao gio cung tim duoc it nhat 1 nhom co 3 so ma so nay bang tong 2 so con lai hoac 1 nhom gom 2 so ma so nay gap doi so con lai
cho 3 so le cmr ton tai hai so co tong hoac hieu chia het cho 8
Cho 2017 so tu nhien, biet rang cu 4 so khac nhau bat ky thi trong chung deu lap nen 1 ty le thuc, cHUNG MINH : Trong 2017 so do luon ton tai 504 so bang nhau.
tim so tu nhien lon nhat co 4 chu so khac nhau ma tong cac chu so khac nhau bang 21
toi muon hoi bai toan có ton tai hay ko hai so duong ava b khac nhau sao cho 1/a-1/b=1/a-b
cho ham so 2 bien f(x,y) = x^3 +17x +36y ton tai hay khong so nguyen so nguyen x,y thoa man f(x,y) = 2018^2018
