giup minh bai toan nay vs:
CM:\(x+y+z+\frac{x}{y}+\frac{y}{z}+\frac{z}{x}\ge\frac{9}{2}\)
ai giup em giai bai toan nay voi : Cmr 2a^2+b^2+c^2>=*a*(b+c)
Xin giai giup toi giai bai toan sao day, xin cam on nhieu Tim gia tri nho nhat. M= /x-1/ + /y-1/ + /z-1/ Biet /x/ + /y/ + /z/ =5
cac ban oi giup minh bai toan phan tich da thuc thanh nhan tu x^7+x^5+1
Co hay ko so tu nhien x, y de x2+y va y2+x deu la scp
Bai 1
a,cho 3 so x,y,z thoa man; x/1998=y/1999=z/2000
CMR: (x-z)^3=8(x-y)^2 x (y-z)
b, CMR: neu 2(x+y)= 5(y+z)=3(z+x) thi x-y/4=y-z/5
ai giup minh giai cai bai nay voi
\(\hept{\begin{cases}x^2+y^2+2x+2y=11\\xy\left(x+2\right)\left(y+2\right)=24\end{cases}}\)
voi bai \(\hept{\begin{cases}x+y+xy=1\\x+z+xz=3\\z+y+yz=7\end{cases}}\)
Cho các số thực dương x,y,z tm : x+y+z=4. CMR \(\frac{1}{xy}+\frac{1}{xz}\ge1\)
Giup minh giai bai toan nay voi
\(x\left(x+\frac{4}{y}\right)+\frac{1}{y^2}=2\)
\(x\left(2+\frac{1}{y}\right)+\frac{2}{y}=3\)