cho x,y,z.>0, x+y+z=2. cmr: (x+y)(y+z)(z+x)>=64 x^3 y^3 z^3

Cho a, b, c > 0 và x + y + z = 3 .

CMR : \(\dfrac{x}{x+\sqrt{3x+yz}}+\dfrac{y}{y+\sqrt{3y+zx}}+\dfrac{z}{z+\sqrt{3z+xy}}\le1\)

Cho x^3+y^3+z^3=0 cmr x+y+z=0 hay x=y=z

cho x,y,z > 0 thỏa mãn x + y + z = 2. Cmr:

\(\sqrt{xy^3+yz^3+zx^3}+\sqrt{x^3y+y^3z+z^3x}\le2\)

1.Tim tat ca cac cap so nguyên sao cho x^3 -x^2y+3x-2y-5=0

2. Cho0<x,y,z =<1 . CMR : x/(1+y+xz) + y/(1+z+xy) +z/(1+x+yz) =< 3/(x+y+z)

Cho x,y,z>0 thỏa mãn x+y+z=1. CMR: x^4+y^4/x^3+y^3 + y^4+z^4/y^3+z^3 + z^4+x^4/z^3+x^3 >=1

Cho x,y,z>0 thỏa mãn x+y+z=1. CMR: x^4+y^4/x^3+y^3 + y^4+z^4/y^3+z^3 + z^4+x^4/z^3+x^3 >=1

cho x,y,z>0 thoa man x+y+z=1.CMR \(\dfrac{x^4+y^4}{x^3+y^3}+\dfrac{y^4+z^4}{y^3+z^3}+\dfrac{z^4+x^4}{z^3+x^3}\ge1\)

Cho x,y,z>0 và x+y+z=2020

CMR: a, x^4+y^4/x^3+y^3 + y^4+z^4/y^3+z^3 + z^4+x^4/z^3+x^3 >=2020