2x^2-x chia hết cho x+1
=>2x^2+2x-3x-3+3 chia hết cho x+1
=>3 chia hết cho x+1
=>x+1 thuộc {1;-1;3;-3}
=>x thuộc {0;-2;2;-4}
tim cac so x la so nguyen thooa man (x^2 +7x + 2) chia het cho x +7
Tim a,b la cac so nguyen duong sao cho a+b^2 chia het cho a^2b-1
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 x la so nguyen va p=x.(x+1).(2x+1) chung minh p chia het cho 6
tim cac so nguyen x, y thoa man x>y>1 va 2x + 2y + 1 chia het cho xy
TIM N LA SO NGUYEN SAO CHO
a , 3n +11 chia het cho n
b , 2n - 7 chia het cho n+ 2
c , n2 + 2n + 10 chia het cho n+ 1
Cho B(x)=ax^2 +bx+c(a b c la so nguyen). Biet B(x) chia het cho 3. CMR a b c chia het cho 3
Tim so nguyen x sao cho:
\(\frac{x^2+x}{xy+1}\)la so nguyen
chung minh rang :B=x.y(x^2-y^2).(x^2+y^2)chia het cho 30 (x;y la so nguyen)
