Tim bo ba x y z thoa man

X^2+2y^2+2^2-2(xy+2y+2z+8)=0

Giup Minh nha can gap lam

Tim bo ba x y z thoa man

X^2+2y^2+2^2-2(xy+2y+2z+8)=0

cho x,y,z>0 va thoa man x+y+z=1. Tim GTNN cua F= 14(x² +y² +z² ) +\(\frac{xy+yz+zx}{x^2y+y^2z+z^2x}\)

X^2+2y^2+z^2-2(xy+2y+2z+8)=0 Tim x y z

cho ba so thuc khong am x,y,z thoa man x+y+z=3 Tinh GTNN cua A=can(2x^2+3xy+2y^2)+can(2y^2+3yz+2z^2)+can(2z^2+3zx+2x^2)

cho cac so x,y,z va x+y+z khac 0 thoa man dieu kien 

\(\frac{x+2y}{x+2y-z}+\frac{y+2z}{y+2z-x}+\frac{z+2x}{z+2x-+y}\)

tinh gt bieu thuc \(T=\frac{x^2+y^2}{xy}+\frac{y^2+z^2}{yz}+\frac{z^2+x^2}{zx}\)

tim x y z thoa man x²+y²+z²-xy-3y-2z+4=0

CHO CAC SO DUONG x,y,z THOA MAN :x+y+z=1

tìm giá trị nhỏ nhất

M=\(\sqrt{2x^2+xy+2y^2}+\sqrt{2y^2+yz+2z^2}+\sqrt{2z^2+zx+2x^2}\)

Cho x,y,z la cac so thuc khac 0. Thoa man : z²+z(xy-xz-yz)=0

Chung minh rang x²+(x+2y-z)²   /  y²+(2x+y-z)²  = x+2y-z / 2x+y-z