\(\left\{{}\begin{matrix}xy+y+x+1=10\\yz+y+z+1=5\\zx+x+z+1=2\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}\left(x+1\right)\left(y+1\right)=10\\\left(y+1\right)\left(z+1\right)=5\\\left(z+1\right)\left(x+1\right)=2\end{matrix}\right.\)
\(\Rightarrow\left[\left(x+1\right)\left(y+1\right)\left(z+1\right)\right]^2=100\)
\(\Rightarrow\left(x+1\right)\left(y+1\right)\left(z+1\right)=10\)
\(\Rightarrow\left\{{}\begin{matrix}z+1=1\\x+1=2\\y+1=5\end{matrix}\right.\)
giải hpt:
\(\left\{{}\begin{matrix}x+y+z=3\\xy+yz+xz=-1\\x^3+y^3+z^3+6=3\left(x^2+y^2+z^2\right)\end{matrix}\right.\)
Giải hpt: \(\left\{{}\begin{matrix}x+xy+y=9\\y+yz+z=4\\z+zx+x=1\end{matrix}\right.\)
giải hệ phương trình \(\left\{{}\begin{matrix}x+xy+y=1\\y+yz+z=4\\z+xz+x=9\end{matrix}\right.\)
Giải hệ phương trình : \(\left\{{}\begin{matrix}x\left(x+y+z\right)+yz=238\\y\left(x+y+z\right)+xz=187\\z\left(x+y+z\right)+xy=154\end{matrix}\right.\)
Giải hệ phương trình
\(\left\{{}\begin{matrix}x\left(yz+1\right)=\frac{7}{3}z\\y\left(xz+1\right)=8x\\z\left(xy+1\right)=\frac{9}{2}y\end{matrix}\right.\)
1. Tìm x biết: \(\sqrt{x+24}+\sqrt{x-16}=10\)
2. Giải hpt: \(\left\{{}\begin{matrix}x+xy+y=9\\y+yz+z=4\\z+zx+x=1\end{matrix}\right.\)
Giải hệ phương trình : \(\left\{{}\begin{matrix}x^2+xy+xz=2\\y^2+yz+xy=3\\z^2+xz+yz=4\end{matrix}\right.\)
Tìm 3 bộ số x, y, z thỏa mãn: \(\left\{{}\begin{matrix}x+y+z\le9\\\sqrt{x-1}+\sqrt{y-2}+\sqrt{z-3}+5x+4y+3z=xy+yz+xz+11\end{matrix}\right.\)
Giải hệ phương trình
\(\left\{{}\begin{matrix}x^2+y^2+xy=19\\x^2+z^2+xz=13\\y^2+z^2+yz=7\end{matrix}\right.\)
