tim x , y nguyen duong thoa man
1003x +2y = 2008
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)
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).
tim nghiem nguyen duong: \(3^x=y^2+2y\)
tim hai so nguyen duong x,y thoa man x3 +7x = y3 +7y
1/ Tim x, y nguyen duong thoa man: \(y=\sqrt[3]{18+\sqrt{x+100}}+\sqrt[3]{18-\sqrt{x+100}}\)
cho cac so thuc duong x,y thoa man x+y<=3.Tim GTNN cua 1/5xy + 5/x+2y+5
Cho x,y,z nguyen duong thoa man x+y-z+1=0
Tim GTLN cua \(P=\frac{x^3y^3}{\left(x+yz\right)\left(y+xz\right)\left(z+xy\right)^2}\)
cho x y la hai so nguyen duong khac nhau thoa man \(2x^2+x=3y^2+y\)
chung minh\(\frac{x-y}{2x+2y+1}\)la phan so toi gian