gợi ý:\(pt\left(2\right)\Leftrightarrow\left(x^2-xy+y^2\right)\left(x^2+xy+y^2\right)=21\)
gợi ý:\(pt\left(2\right)\Leftrightarrow\left(x^2-xy+y^2\right)\left(x^2+xy+y^2\right)=21\)
Gải hpt:
\(\left\{\begin{matrix}x^2-xy+y^2=7\\x^4+x^2y^2+y^4=21\end{matrix}\right.\)
Giải hpt:
\(\left\{\begin{matrix}\left(x+y\right)^4+13=6x^2y^2-10\\xy\left(x^2+y^2\right)=-1\end{matrix}\right.\)
Giải hpt:
\(\left\{\begin{matrix}x^2+x-xy-2y^2-2y=0\\x^2+y^2=1\end{matrix}\right.\)
Giải hpt:
\(\left\{\begin{matrix}x^2+x-xy-2y^2-2y=0\\x^2+y^2=1\end{matrix}\right.\)
Giải hpt:
\(\left\{\begin{matrix}2x^2+xy-y^2-5x+y+2=0\\x^2+y^2+x+y-4=0\end{matrix}\right.\)
Giải hpt:
\(\left\{\begin{matrix}x+y+z=6\\xy+yz-zx=7\\x^2+y^2+z^2=14\end{matrix}\right.\)
giải hpt:
\(\left\{{}\begin{matrix}\left|xy-10\right|=20-x^2\\xy=5+y^2\end{matrix}\right.\)
giải hpt \(\left\{\begin{matrix}x^3=y^3+9\\x-x^2=2y^2+4y\end{matrix}\right.\)
Giải hpt:
\(\left\{\begin{matrix}x^2+y^2+xy=1\\x^3+y^3=x+3y\end{matrix}\right.\)