Cho x,y,z la cac so nguyen duong thoa man 1/x + 1/y + 1/z = 2015.
Tim GTLN cua bieu thuc P=x+y/x^2+y^2 + y+z/y^2+z^2 + z+x/z^2+x^2
cap so nguyen duong x y thoa man x(x-2)-(2-x)y-2(x-2)=3
cho x,y>0 thoa man x lon hon hoac bang 2y.TTim min M=x^2+y^2/xy
Tim cac cap so (x,y) duong thoa man (x-y)^3=(x-y-6)^2
cho so nguyen to p va cac so duong x,y thoa man 4x^2-3xy-y^2-p(3x+2y)=2p^2 CHUNG MINH RANG 5x-1 la so chinh phuong
Tim cac so nguyen duong thoa man: 1/x+1/y=2/3
Cho x y z la cac so huu ti doi mot khac nhau va khac khong thoa man x+1/y=y+1/z=z+1/x Chung minh xyz=1 hoac xyz=-1
Cho x,y duong thoa man: x+y=3. Chung minh rang x2y <= 4
cmr khong co cac so x,y,x thoa man moi dang thuc sau: A = 2x^2 + y^2 - 2xy + x + 2 = 0