cho 0 <= x,y <=1 va x+y=3xy. tim min, max cua P= x^2 + y^2 -4xy
Cho x,y>0 va \(x+y\le1\).Tim min P=\(\left(\frac{1}{x}+\frac{1}{y}\right)\sqrt{1+x^2y^2}\)
Cho x,y,z>0 va xyz=1. Tim Min cua \(P=\frac{x^2\left(y+z\right)}{y\sqrt{y}+2z\sqrt{z}}+\frac{y^2\left(z+x\right)}{z\sqrt{z}+2x\sqrt{x}}+\frac{z^2\left(x+y\right)}{x\sqrt{x}+2y\sqrt{y}}\)
Cho x,y>0 va x+y=1.tim GTNN A= 1/(x^2+y^2) +1/xy
a,Cho a,b,c duong va \(a^2+b^2+c^2\)=3. Tim Min cua P= \(\frac{a^3}{\sqrt{b^2+3}}+\frac{b^3}{\sqrt{c^2+3}}+\frac{c^3}{\sqrt{a^2+3}}\)
b,Cho x,y,z>0 va x+y+z=6. C/m \(8^x+8^y+8^z\ge4^{x+1}+4^{y+1}+4^{z+1}\)
√xy + √yz + √zx =1 ;x,y,z>0
tim min A = X^2/(X+y) + y^2/(y+z) + z^2/z+x
ai lam dk mk tick cho
x,y>0; x2 +y2 =1 tim A min= 1/x+1/y
. Cho x,y,z > 0. Tim min của A =\(4.\left(x^2+y^2+z^2\right)+\dfrac{441}{x+2y+4z}\)
Cho x>=0,y,z<=2,x+y+z=3.tim min,max x^4+y^4+z^4+12(1-x)(1-y)(1-z)
