1,\(\hept{\begin{cases}x^2-2y^2-xy=0\\\sqrt{2x}+\sqrt{y+1}=2\end{cases}}\)
2,\(\hept{\begin{cases}\left(x-y\right)\left(x+y+y^2\right)=x\left(y+1\right)\\\sqrt{x}+\sqrt{y+1}=2\end{cases}}\)
3,\(\hept{\begin{cases}2y^3-\left(x+4\right)y^2+8y+x^2-4x=0\\\sqrt{\frac{1-x}{2}}+\sqrt{x+2y+3}=\sqrt{5}\end{cases}}\)
Giải \(\hept{\begin{cases}x^2-xy+y^2=3\left(x-y\right)^2\\2x+2y=\left(x-y\right)^2\end{cases}}\)
\(\hept{\begin{cases}\left(x-y\right)^2+4x=4\sqrt{\left(x+1\right)y}-3\\\left(xy-y\right)^2=4\left(y-1\right)\sqrt{2x^2-4}-7\end{cases}}\)
\(\hept{\begin{cases}\left(x-y\right)^2+4x=4\sqrt{\left(x+1\right)y}-3\\\left(xy-y\right)^2=4\left(y-1\right)\sqrt{2x^2-4}-7\end{cases}}\)
giải hệ
1, \(\hept{\begin{cases}y^6+y^3+2x^2=\sqrt{xy-x^2y^2}\\8xy^3+2y^3+1\ge4x^2+2\sqrt{1+\left(2x-y\right)^2}\end{cases}}\)
2, \(\hept{\begin{cases}x+\frac{y}{\sqrt{1+x^2}+x}+y^2=0\\\frac{x^2}{y^2}+2\sqrt{x^2+1}+y^2=3\end{cases}}\)
\(\hept{\begin{cases}\sqrt{x}+\sqrt{y}+\sqrt{\left(x-1\right)\left(y+1\right)}+y=7\\\left(x-y\right)\sqrt{y}+y\sqrt{x-y}+1=x+\sqrt{xy-y^2}\end{cases}}\)
Giải hệ phương trình:
\(\hept{\begin{cases}xy^2+4y^2+8=x\left(x+2\right)\\x+y+3=3\sqrt{2y-1}\end{cases}}\)
giải hệ phương trình
\(\hept{\begin{cases}x^2\\x^3+3y^2+5x-12=\left(12-y\right)\sqrt{3-x}\end{cases}+y^2+1=2\left(xy-x+y\right)}\)
\(\hept{\begin{cases}x\sqrt{4x^2+y^2}+\sqrt{4-y^2}=x^2+1\\\left(5x^2+y^2\right)^2=25+2\sqrt{xy}\left(5-5x^2-y^2\right)\end{cases}}\)