a)Tim tat ca cac so nguyen duong x, y , z thoa man: \(\frac{x+y\sqrt{2013}}{y+z\sqrt{2013}}\)la so huu ti, dong thoi x² + y²+ z² la so nguyen to.

b) Tim so tu nhien x, y thoa man: x(1+x+x²) = y(y-1).

Cho 3 so x, y, z thoa man cac he thuc: \(\left(z-1\right)x-y=1\) va \(x+zy=2\)

Chmr: \(\left(2x-y\right)\left(z^2-z+1\right)=7\) va tim tat ca cac so nguyen x, y, z thoa man cac he thuc tren.

tim cac cap so nguyen x y thoa man (x+2)²(y-2)+xy^2+26=0

Tim tat ca cac so nguyen x,y thoa man x^2 + 8y^2 - 6y - 2x + 6y + 6 = 0. ai biet giai giup minh voi,toan nang cao lop 9 do,cam on moi nguoi nhieu

tim cac cap so nguyen thoa man phuong trinh sau:

a)2x+y=0

b)6x-15y=4

a)Tim cap (x,y) nguyen duong thoa man xy=3(y-x)

b)cho 2 so x,y >0 thoa man x+y = 1

Tim GTNN cua M=(x^2+1/y^2)(y^2+1/x^2)  

tim cac cap so nguyen thoa man cua phuong trinh sau:

a)2x+y=0

b)6x-15y=4

tim tat ca cac bo ba so (x,y,z)  thoa man x+y=1+\(\sqrt{z}\) va 2x.y=1+z

tim cac so m,n,p thoa man : m+n+p+8=2canm-1 + 4cann-2 +6canp-3

tim cac so x,y,z thoa man :canx+cany-1 +canz-2 = 1/2(x+y+z)

tim cac so x,y,z thoa man :x+y+z+4=2canx-2 +4cany-3+6canz-5