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)
cho x+y >1 va x >0. tim min A = (8x^2+y)/4x + y^2
Cho x,y,z>0 va xyz=1. Tim Min cua \(P=\frac{x^2\left(y+z\right)}{y\sqrt{y}+2z\sqrt{z}}+\frac{y^2\left(z+x\right)}{z\sqrt{z}+2x\sqrt{x}}+\frac{z^2\left(x+y\right)}{x\sqrt{x}+2y\sqrt{y}}\)
tim gtnn va gtln cua
a)\(\frac{x^2+1}{x^2-x+1}\)
b)\(\frac{5y^2-3xy}{x^2-3xy+4y^2}\)
c)Cho \(x^2+2xy-x^2y-y+7=0\) .Tim gtnn va gtln cua \(x^2+6xy+12y^2\)
cho cac so x,y thoa man:x2+y2=16+xy. tim min;max cua P=x2+y2
Tim min và max cua B=x+y+z Biet y2+yz+z2=(1-3x2)/2
Cho 3x^2-4xy+3y^2=25 và a,b>0
Tìm min,max P=x^2+y^2
Cho x,y la ca so duong tm x+y nho hon hoặc bang 1 tim Min A = 1/x^2+y^2 + 2/xy +4xy